Question

The HCF of the numbers 182 and 78 will be

• A. 13
• B. 26
• C. 28
• D. 39

Hint:

To find HCF, multiply the smallest powers of all common prime factors.

Answer 1

The Correct Option is B

Step 1: Find the prime factors. 
182 = 2 × 7 × 13 
78 = 2 × 3 × 13 
Step 2: Find the common factors. 
Common prime factors = 2 and 13. 
Step 3: Multiply the common factors. 
\[ \text{HCF} = 2 \times 13 = 26 \] Step 4: Conclusion. 
Hence, the HCF of 182 and 78 is 26.