Question

if a=2²×3³×5⁴ and b=2³×5×3² then find HCF(a,b)

Answer 1

Answer:

Q. if a=2²×3³×5⁴ and b=2³×5×3² then find HCF(a,b).

solution is 180 .

Step-by-step explanation:

..

Answer 2

Given:

The expression is a=2²×3³×5⁴ and b=2³×5×3².

To find:

The HCF.

Solution:

To determine the HCF of the above expression we have to follow the below steps as follows-

The expressions are a=2²×3³×5⁴ and b=2³×5×3².

The term a and b can be factorised as follows-

$a=2 \times 2 \times 3 \times 3 \times 3 \times 5 \times 5 \times 5 \times 5 \\ b=2 \times 2 \times 2×5×3 \times 3$

Thus the common terms in a and b are as follows-

$2 \times 2 \times 3 \times 3 \times 5 \\ = 4 \times 9 \times 5 \\ = 20 \times 9 \\ = 180$

The HCF of the above expression is 180.