9th Grade Euclidean Algorithm Quizzes, Questions & Answers

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This quiz titled 'LL CSET 110 - Number Theory MC' tests knowledge on the Euclidean Algorithm, number simplification, and properties of numbers formed from primes.

Questions: 15 | Attempts: 146 | Last updated: Dec 23, 2024

Sample Question 1
5,078 = 150(33)+128 is the first step in finding the greatest common divisor of two numbers. Which of the following is the next step in the Euclidian Algorithm?

150=33(4)+18

128=33(3)+29

150=128(1)+22

5,078=128(39)+86

Sample Question 2
The Euclidian Algorithm is performed to find the greatest common divisor of 1,622 and 136. Which of the following is a step in this Euclidian Algorithm?

136 = 11(12)+4

126=15(8)+6

126=12(10)+6

64=8(8)+0

Sample Question 3
If can be simplified to a fraction form , where a and b are mutually prime integers, what is a+b?

76

81

100

300