Question

The HCF of 960 and 432 is ______.

Options

• 48

• 54

• 72

• 36

Answer 1

The HCF of 960 and 432 is 48.

Explanation:

Prime factorisation of 960 and 432.

2	960
2	480
2	240
2	120
2	60
2	30
3	15
5	5
	1

960 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5

= 2⁶ × 3 × 5

2	432
2	216
2	108
2	54
3	27
3	9
3	3
	1

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

= 2⁴ × 3³

The common factors are 2⁴ and 3.

HCF = 2 × 2 × 2 × 2 × 3

HCF = 48