Question

Select the GCF for each pair of numbers. 9,15 12,18 15,27 30,54

Answer 1

The Greatest common factors for each pair of numbers are;

1, ( 9 , 15 ) = 3

2. ( 12 , 18 ) = 6

3. ( 15 , 27 ) = 3

4. (30, 54) = 6

What is Greatest common factors?

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Given that;

The pairs of numbers are;

1, ( 9 , 15 )

2. ( 12 , 18 )

3. ( 15 , 27 )

4. (30, 54)

Now,

Find the Greatest common factors of the pairs of the numbers as;

1, ( 9 , 15 )

LCM of 9 = 3 x 3

LCM of 15 = 3 x 5

So, GCF of 9 and 15 = 3

2. ( 12 , 18 )

LCM of 12 = 2 x 3 x 2

LCM of 18 = 3 x 3 x 2

So, GCF of 12 and 18 = 3 x 2 = 6

3. ( 15 , 27 )

LCM of 15 = 3 x 5

LCM of 27 = 3 x 3 x 3

So, GCF of 15 and 27 = 3

4. (30, 54)

LCM of 30 = 2 x 3 x 5

LCM of 18 = 3 x 3 x 2

So, GCF of 30 and 54 = 3 x 2 = 6

Thus, The Greatest common factors for each pair of numbers are;

1, ( 9 , 15 ) = 3

2. ( 12 , 18 ) = 6

3. ( 15 , 27 ) = 3

4. (30, 54) = 6

Learn more about the Greatest common factor visit:

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