MATH SOLVE

2 months ago

Q:
# Find the greatest common factor : 32a^3b^2, 44ab^3 and 40a^2bFind the greatest common factor : 25^2q^3, 15p^2q^2 and 35pq^4

Accepted Solution

A:

Answer

1) 4ab

2) 5pq²

Explanation

Greatest common factor is sometimes known as GCD (greatest common divisor). It means the greatest number that can divide a set of numbers.

For example, the GCD of 12 and 18 is 6.

Question 1

Find the GCF of 32a^3 b^3,44ab^3,and 40a^2 b. To do this you can factor out the common term.

32a^3 b^3,44ab^3,and 40a^2 b

Dividing every term by ab we shall have,

ab(32a^2 b^2,44b^2,and 40a)

Dividing again by 4,

4ab(8a^2 b^2,11b^2,and 10a)

Have no other common factor, the GCF = 4ab

Question 2

Find the GCF of 25p²q³,15p² q² and 35pq^4 . To do this you can factor out the common term.

25p²q³,15p² q² and 35pq^4

Dividing each term by 5,

5(5p²q^3, 3p²q² and 7pq^4)

Dividing again by pq2,

5pq² (5pq, 3p and 7q² )

There no been any other common divisor, the GCF = 5pq²

1) 4ab

2) 5pq²

Explanation

Greatest common factor is sometimes known as GCD (greatest common divisor). It means the greatest number that can divide a set of numbers.

For example, the GCD of 12 and 18 is 6.

Question 1

Find the GCF of 32a^3 b^3,44ab^3,and 40a^2 b. To do this you can factor out the common term.

32a^3 b^3,44ab^3,and 40a^2 b

Dividing every term by ab we shall have,

ab(32a^2 b^2,44b^2,and 40a)

Dividing again by 4,

4ab(8a^2 b^2,11b^2,and 10a)

Have no other common factor, the GCF = 4ab

Question 2

Find the GCF of 25p²q³,15p² q² and 35pq^4 . To do this you can factor out the common term.

25p²q³,15p² q² and 35pq^4

Dividing each term by 5,

5(5p²q^3, 3p²q² and 7pq^4)

Dividing again by pq2,

5pq² (5pq, 3p and 7q² )

There no been any other common divisor, the GCF = 5pq²