Question

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

• A. 156
• B. 26
• C. 13
• D. 6

Hint:

Formula: \( \text{LCM} \times \text{HCF} = \text{Product of the two numbers.} \) Always use this to find HCF or LCM when the other is known.

Answer 1

The Correct Option is C

Step 1: Use the relationship between LCM, HCF and numbers.
We know that for two numbers \( a \) and \( b \), the product of LCM and HCF equals the product of the numbers: \[ \text{LCM} \times \text{HCF} = a \times b \]
Step 2: Substitute the given values.
Let \( a = 26 \), \( b = 156 \), and \( \text{LCM} = 156 \). \[ 156 \times \text{HCF} = 26 \times 156 \]
Step 3: Simplify.
Dividing both sides by 156: \[ \text{HCF} = 26 \times 156 / 156 = 26 / 2 = 13 \]
Step 4: Final answer.
\[ \text{HCF} = 13 \]