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Step 3. Continue till you get 0 as the remainder.

Step 4. The last divisor (5) is the required HCF.
Thus, the HCF of 35 and 80 is 5.

example 4. Find the HCF of 18, 30 and 64 using the long division method.

Solution.

Step 1. First find the HCF of any two Step 2. Now, find the HCF of 6 (HCF of 18
numbers, say 18 and 30. and 30) and 64 (remaining number).

6 64 10
18 30 1 – 6
– 18 04
– 0
12 18 1
– 12 4 6 1
– 4
6 12 2 2 4 2

– 12 – 4
0
0

HCF of 18 and 30 = 6 HCF of 6 and 64 = 2

Thus, the HCF of the given numbers 18, 30 and 64 is 2.

Exercise 3D

1. Find the common factors of the following numbers and underline the HCF.

a. 21, 35 b. 24, 36 c. 42, 63 d. 40, 75

2. Find the HCF of the following numbers and write it in the circle below them.

a. 15 24 b. 20 36 c. 30 50 d. 14 36

3. Find the HCF using the listing factors method.

a. 25, 40 b. 33, 77 c. 35, 56 d. 39, 65

e. 45, 72 f. 63, 90 g. 20, 40, 70 h. 24, 40, 64
i. 15, 30, 75 j. 28, 42, 70 k. 50, 75, 100 l. 21, 56, 35

76 Mathematics 5