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Choose Yes or No to tell whether 3 is the GCF of each pair of numbers

Choose Yes or No to tell whether 3 is the GCF of each pair of numbers-example-1
User BlackWolf
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1 Answer

21 votes
21 votes
Answer:

9, 15 (Yes)

12, 18 (NO)

15,27 (YES)

30, 45 (NO)

Explanations:

Note:

The factors of a number are the numbers that can divide it without any remainder

The common factors of two numbers are the numbers that can divide both of them without any remainder

The Greatest Common factor (GCF) is the largest of the common factors

For 9, 15:

factors of 9 = 1, 3, and 9

factors of 15 = 1, 3, 5, and 15

Common Factor = 1 and 3

Greatest Common factor (GCF) = 3

Yes, 3 is the GCF

For 12, 18:

factors of 12 = 1, 2, 3, 4, 6, and 12

Factors of 18 = 1, 2, 3, 6, 9, and 18

Common Factors = 1, 2, 3, and 6

GCF = 6

No, 3 is not the GCF

For 15, 27:

factors of 15 = 1, 3, 5, and 15

factors of 27 = 1, 3, 9, and 27

Common Factors = 1 and 3

GCF = 3

Yes, 3 is the GCF

For 30, 45:

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, and 30

Factors of 45 = 1, 3, 5, 9, 15, and 45

Common Factors = 1, 3, 5, and 15

GCF = 15

No, 3 is not the GCF

User NKSM
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