Question

The HCF of 108 and 144 is_________

• A. 12
• B. 24
• C. 16
• D. 36

Answer 1

Answer:

D. 36

Step 1: Find the smallest difference

Subtract the smaller number from the larger one:

144−108=36

If the difference is a factor of both numbers, it's the HCF!

Step 2: Check divisibility

Now, check if 36 divides both numbers:

108÷36=3(Perfectly divisible)

144÷36=4(Perfectly divisible)

Since 36 divides both numbers, it's the HCF!

Shortcut Summary

If two numbers are close together, their difference is often the HCF. If not, find factors of the difference that divide both numbers.