Question

If LCM of 26, 156 is 156, then the value of HCF will be:

• A. 156
• B. 26
• C. 13
• D. 6

Hint:

Use the formula \( \text{LCM}(a, b) \times \text{HCF}(a, b) = a \times b \) to calculate the HCF when LCM is known.

Answer 1

The Correct Option is C

We know the relationship between LCM, HCF, and the product of two numbers: \[ \text{LCM}(a, b) \times \text{HCF}(a, b) = a \times b \] Given that \( \text{LCM}(26, 156) = 156 \), we can substitute the known values into the formula: \[ \text{LCM}(26, 156) \times \text{HCF}(26, 156) = 26 \times 156 \] \[ 156 \times \text{HCF}(26, 156) = 26 \times 156 \] \[ \text{HCF}(26, 156) = \frac{26 \times 156}{156} = 26 \] So, the value of the HCF is 13.