Question

Calculate the HCF of 3
³×5 and 3²×5²​

Answer 1

Answer:

The HCF of the given numbers is 45.

Step-by-step explanation:

Given:

The two given numbers are $3^{3}$ × 5 and 3²×5²​

Let, A =  $3^{3}$ × 5

and B =  3²×5²​

To Be Calculated:

the HCF of 3³×5 and 3²×5²​

Solution:

HCF is the Highest Common Factor.

The HCF is the principal factor that divides two or more numbers.

The product of a number's prime components is used to express each number. This approach is known as prime factorization.

The shared characteristics of the two numbers are identified.

The total number of usual prime factors makes up the HCF.

So, We have,

A =  $3^{3}$ × 5

B =  3²×5²​

The HCF =  3²× 5 = 9  × 5= 45.

Therefore, the HCF of the given numbers is 45.

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