The HCF of 108 and 144 is_________
A12
B24
C16
D36
Answer:
D. 36
Read Explanation:
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.