Question

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.

In class, pairs of students were given numbers to work with. In each pair, one student found the greatest common factor and the other student found the least common multiple.

Jess and Nate were given the numbers 8 and 12.

Jess found that the greatest common factor is 4.
Nate found that the least common multiple is 48.
One of these students made a mistake.

Which student made a mistake?

What number should the student have found instead?

Answer 1

Nate made a mistake. He should have got 24 as Least common factor.

Explanation:

Given number are 8 and 12.

To find the GCF or LCF we have to list multiples.

For LCF

• List the multiples of each number until at least one of the multiples appears on all lists.
• Find the smallest number that is on all of the lists.
• This number is the LCM.

For GCF

• List the multiples of each number until at least one of the multiples appears on all lists.
• Find the Biggest number that is on all of the lists.
• This number is the GCF

The least common multiple of 8 and 12 is 24.

The Greatest common multiply of 8 and 12 is 4.

Hence, Nate is wrong. Nate should have found 24.

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