Question

if a is equal to 2 square into 3 cube into 5 power 4 and b is equal to 2 cube into 3 cube into 5 then HCF of a and b​

Answer 1

Hii its tom85

a = 2*2*3*3*3*5*5*5*5

b = 2*2*2*3*3*3*5

HCF = 2*2*3*3*3*5 = 540

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Answer 2

Given:

a=2 square into 3 cubes into 5 power 4

b=2 cube into 3 cubes into 5

To find:

The HCF of a and b

Solution:

The required value of the HCF is 540.

We can obtain the value required by taking out the factors common between the given terms.

The terms are as follows-

a=$2^{2}$ ×$3^{3}$ ×$5^{4}$

b=$2^{3}$ ×$3^{3}$×5

Now, the required HCF=$2^{2}$ ×$3^{3}$×5

=4×27×5

=27×20

=540

Therefore, the required value of the HCF is 540.