GCF and LCM Practice Quiz with Answers and Explanations

Question 1

Find the greatest common factor (GCF) of $18$ and $24$.

Accepted Answer

$6$

Answer

$42$

Answer

$3$

Answer

$72$

Question 2

Which statement is always true for positive integers $a$ and $b$?

Accepted Answer

$	ext{GCF}(a,b)\cdot 	ext{LCM}(a,b)=a\cdot b$

Answer

$	ext{GCF}(a,b)=	ext{LCM}(a,b)$ for all $a,b$

Answer

$	ext{GCF}(a,b)=a\cdot b$

Answer

$	ext{LCM}(a,b)$ is always less than $a+b$

Question 3

Three students jog around a track. They complete a lap every $12$ min, $15$ min, and $18$ min. If they start together, when will they all be at the start together again?

Accepted Answer

$180$ minutes

Answer

$45$ minutes

Answer

$90$ minutes

Answer

$6$ minutes

GCF and LCM Practice Quiz with Answers and Explanations

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