15 , 30 , 45

Find the common factors for the numerical part:

15,30,45

The factors for 15 are all numbers between 1 and 15, which divide 15 evenly.

Check numbers between 1 and 15

Find the factor pairs of 15 where x⋅y=15.

xy11535

List the factors for 15.

1,3,5,15

1,3,5,15

The factors for 30 are all numbers between 1 and 30, which divide 30 evenly.

Check numbers between 1 and 30

Find the factor pairs of 30 where x⋅y=30.

xy13021531056

List the factors for 30.

1,2,3,5,6,10,15,30

1,2,3,5,6,10,15,30

The factors for 45 are all numbers between 1 and 45, which divide 45 evenly.

Check numbers between 1 and 45

Find the factor pairs of 45 where x⋅y=45.

xy14531559

List the factors for 45.

1,3,5,9,15,45

1,3,5,9,15,45

List all the factors for 15,30,45 to find the common factors.

15: 1,3,5,15

30: 1,2,3,5,6,10,15,30

45: 1,3,5,9,15,45

The common factors for 15,30,45 are 1,3,5,15.

1,3,5,15

The GCF (HCF) of the numerical factors 1,3,5,15 is 15.

15

Find the GCF 15 , 30 , 45