How do you find the GCF and LCM of numbers?

zintekensci

zintekensci

Answered question

2022-05-22

How do you find the GCF and LCM of numbers?

Answer & Explanation

nifeonibonitozg

nifeonibonitozg

Beginner2022-05-23Added 12 answers

Step 1
Given two numbers, you can find the GCF as follows:
Divide the larger number by the smaller to give a quotient and remainder.
If the remainder is zero, then the GCF is the smaller number.
Otherwise repeat with the smaller number and the remainder.
For example, to find the GCF of 252 and 70 proceed as follows:
252 70 = 3 with remainder 42
70 42 = 1 with remainder 28
42 28 = 1 with remainder 14
28 14 = 2 with remainder 0
So the GCF is 14
Then to find the LCM, multiply the two original numbers together and divide by the GCF.
In our example, the LCM of 252 and 70 is:
252 70 14 = 1260

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