arrow
arrow
arrow
Find the HCF of 5², 5⁴ and 5⁶.
Question

Find the HCF of 5², 5⁴ and 5⁶.

A.


B.

5⁴

C.

5⁶

D.

5⁸

E.

5105^{10}​​

Correct option is A

Given:

Numbers: 5², 5⁴, and 5⁶

Formula Used:

To find the HCF (Highest Common Factor) of numbers in the form of powers of a prime, we use the following formula:

HCF =BaseSmallest Exponent Base ^ {Smallest \ Exponent}​​

Where the base is the common prime factor, and the smallest exponent is the lowest exponent among the numbers.

Solution:

The numbers are 5², 5⁴, and 5⁶.

The common base is 5, and the smallest exponent is 2.

Therefore, the HCF is:

HCF = 5min(2,4,6)=52=25 5 ^ {min(2, 4, 6)} = 5² = 25​​

test-prime-package

Access ‘RVUNL’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
test-prime-package

Access ‘RVUNL’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow