Find the HCF by using the division method.

a. 9, 18, 27

b. 25, 75, 95

To find the Highest Common Factor (HCF) using the division method, let's go through the process step-by-step for each set of numbers:
a. 9, 18, 27

Find the HCF of any two numbers first:

Start with 18 and 9.
Divide 18 by 9: 18 ÷ 9 = 2 remainder 0
Since the remainder is 0, 9 is the HCF of 18 and 9.


Use the HCF obtained with the third number:

Now, find the HCF of 9 (from step 1) and 27.
Divide 27 by 9: 27 ÷ 9 = 3 remainder 0
Since the remainder is 0, 9 is the HCF of 9, 18, and 27.



The HCF of 9, 18, and 27 is 9 .
b. 25, 75, 95

Find the HCF of any two numbers first:

Start with 75 and 25.
Divide 75 by 25: 75 ÷ 25 = 3 remainder 0
Since the remainder is 0, 25 is the HCF of 75 and 25.


Use the HCF obtained with the third number:

Now, find the HCF of 25 (from step 1) and 95.
Divide 95 by 25:
95 ÷ 25 = 3 (quotient) remainder 20


Then divide 25 by 20:
25 ÷ 20 = 1 (quotient) remainder 5


Now divide 20 by 5:
20 ÷ 5 = 4 (quotient) remainder 0


Since the remainder is 0, 5 is the HCF of 25 and 95.



The HCF of 25, 75, and 95 is 5 .

Answered by LiamAlexanderSmith | 2025-07-21

The HCF of 9, 18, and 27 is 9, while the HCF of 25, 75, and 95 is 5. We used the division method step-by-step to find the HCF for both sets of numbers. This method involves dividing the numbers and checking for remainders to determine common factors.
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Answered by LiamAlexanderSmith | 2025-07-25