Greatest Common Divisor / Lowest Common Multiple

Intro

Concept Quizzes

GCD / LCM Warmup
Greatest Common Divisor
Lowest Common Multiple
Relationship between GCD and LCM
GCD and LCM - Problem solving
Euclidean Algorithm

Challenge Quizzes

Greatest Common Divisor / Lowest Common Multiple: Level 1 Challenges
Greatest Common Divisor / Lowest Common Multiple: Level 2 Challenges
Greatest Common Divisor / Lowest Common Multiple: Level 3 Challenges
Greatest Common Divisor / Lowest Common Multiple: Level 4 Challenges
Greatest Common Divisor / Lowest Common Multiple: Level 5 Challenges

GCD and LCM - Problem solving

If the lowest common multiple of $4,6,8,9,$ and $x$ is $504,$ what is the third smallest possible integer $x?$

Note: Third smallest means the third value of $x$ if the possible values were listed from least to greatest.

121 14 25 21

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What is the largest 3-digit number that is a multiple of 12 and a multiple of 21, but not a multiple of 22?

588 840 996 756

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If the greatest common divisor of $266,308,392,$ and $x$ is $7,$ what is the sum of the smallest and largest possible 2-digit positive integers $x?$

119 126 112 105

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$A$ and $B$ are positive integers such that $\begin{array}{c}&\gcd(A,B)= 9, &\mbox{lcm}(A,B) = 180, &A<B. \end{array}$ How many such $A$ 's are there?

2 1 3 4

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by Brilliant Staff

What is the lowest common multiple of the numbers 8, 9, 10, and 12?

480 600 360 720

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by Brilliant Staff

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