Question

DIRECTION for the question: Solve the following question and mark the best possible option. If the L.C.M of two numbers is 9570, then their H.C.F. can be

• A. 6
• B. 12
• C. 19
• D. 23
• E. 10

Hint:

HCF of two numbers must always divide their LCM.

Answer 1

The Correct Option is A

For any two numbers: \[ LCM \times HCF = \text{Product of numbers} \] Thus HCF must be a factor of LCM. Factorization: \[ 9570 = 2 \times 3 \times 5 \times 11 \times 29 \] Among the given options only 6 is a factor of 9570. \[ \therefore HCF = 6 \]