# HCF And LCM Quiz

Reviewed by Janaisa Harris
Janaisa Harris, BA-Mathematics |
Mathematics Expert
Review Board Member
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.
, BA-Mathematics
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Hey, are you a math geek? If yes, then let's test your knowledge with these simple HCF and LCM quiz questions. Choose the correct answer and see how well you score. Do not forget to share this quiz with your friends! All the best.

• 1.

### What is the HCF of 12 and 66?

• A.

13

• B.

1

• C.

6

• D.

11

• E.

3

C. 6
Explanation
The HCF (Highest Common Factor) of 12 and 66 is 6. HCF is the largest number that divides both given numbers evenly. In this case, 6 is the largest number that can divide both 12 and 66 without leaving any remainder. Therefore, 6 is the correct answer.

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• 2.

### What is the HCF of 39 and 52?

• A.

1

• B.

26

• C.

3

• D.

13

• E.

11

D. 13
Explanation
The HCF (Highest Common Factor) of two numbers is the largest positive number that divides both numbers without leaving a remainder. In this case, the factors of 39 are 1, 3, 13, and 39, while the factors of 52 are 1, 2, 4, 13, 26, and 52. The common factors of both numbers are 1 and 13, but the highest common factor is 13. Therefore, the HCF of 39 and 52 is 13.

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• 3.

### What is the HCF of 6 and 15?

• A.

1

• B.

3

• C.

2

• D.

11

• E.

6

B. 3
Explanation
The highest common factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the factors of 6 are 1, 2, 3, and 6, while the factors of 15 are 1, 3, 5, and 15. The largest number that appears in both lists is 3, so it is the HCF of 6 and 15.

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• 4.

### What does HCF stand for?

• A.

Heaviest Common Factor

• B.

Highest Common Factor

• C.

Heaviest and Craziest Factor

• D.

Hopelessly Crazed Friend

B. Highest Common Factor
Explanation
HCF stands for Highest Common Factor. It is a mathematical term used to denote the largest number that divides two or more numbers without leaving a remainder. It is also known as the Greatest Common Divisor (GCD).

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• 5.

### What is the HCF of 15 and 50?

• A.

3

• B.

10

• C.

6

• D.

2

• E.

5

E. 5
Explanation
The highest common factor (HCF) is the largest number that divides both 15 and 50 without leaving a remainder. To find the HCF, we can list the factors of each number. The factors of 15 are 1, 3, 5, and 15. The factors of 50 are 1, 2, 5, 10, 25, and 50. The largest number that appears in both lists is 5, so the HCF of 15 and 50 is 5.

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• 6.

### What is the LCM of 8 and 10?

• A.

2

• B.

3

• C.

4

• D.

5

• E.

40

E. 40
Explanation
The LCM (Least Common Multiple) is the smallest number that is a multiple of both 8 and 10. To find it, we can list the multiples of 8 and 10 and find the smallest number that appears in both lists. The multiples of 8 are 8, 16, 24, 32, 40, ... and the multiples of 10 are 10, 20, 30, 40, .... The smallest number that appears in both lists is 40, so the LCM of 8 and 10 is 40.

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• 7.

### What does LCM stand for?

• A.

Least common factor

• B.

Lowest common factor

• C.

Least common multiple

C. Least common multiple
Explanation
LCM stands for Least Common Multiple. The LCM is the smallest multiple that two or more numbers have in common. It is used to find the smallest common multiple when dealing with fractions or finding a common denominator.

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• 8.

### What is the LCM of 24 and 36?

• A.

72

• B.

12

• C.

16

• D.

14

A. 72
Explanation
The LCM (Least Common Multiple) of two numbers is the smallest number that is divisible by both of them without leaving a remainder. To find the LCM of 24 and 36, we can list the multiples of both numbers and find the smallest common multiple. The multiples of 24 are 24, 48, 72, 96, 120, 144, ... and the multiples of 36 are 36, 72, 108, 144, 180, 216, ... The smallest common multiple is 72, which means that 72 is the LCM of 24 and 36.

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• 9.

### What is the LCM of 44 and 62?

• A.

84

• B.

1364

• C.

1200

B. 1364
Explanation
The LCM (Least Common Multiple) is the smallest multiple that two or more numbers have in common. To find the LCM of 44 and 62, we need to find the smallest number that is divisible by both 44 and 62. The prime factorization of 44 is 2^2 * 11, and the prime factorization of 62 is 2 * 31. To find the LCM, we take the highest power of each prime factor that appears in either number. Therefore, the LCM of 44 and 62 is 2^2 * 11 * 31 = 1364.

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• 10.

### What is the LCM of 32 and 72?

• A.

1436

• B.

288

• C.

1240

• D.

428

B. 288
Explanation
The LCM (Least Common Multiple) of two numbers is the smallest number that is divisible by both of them. To find the LCM of 32 and 72, we need to find their prime factors. The prime factorization of 32 is 2^5 and the prime factorization of 72 is 2^3 * 3^2. The LCM is obtained by taking the highest power of each prime factor that appears in either number. Therefore, the LCM of 32 and 72 is 2^5 * 3^2 = 288.

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Janaisa Harris |BA-Mathematics |
Mathematics Expert
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.

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• Current Version
• Jan 30, 2024
Quiz Edited by
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Expert Reviewed by
Janaisa Harris
• Dec 15, 2009
Quiz Created by
Xiuliette

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