Find the hcf of 300,360,240 by prime factorisation method - Maths - Mathematical Reasoning

Question

Find the hcf of 300,360,240 by prime factorisation method

Naina · Accepted Answer

240
2

120
2

60
2

30
2

15
3

5
5

1

Prime factors of 240=24 3 5
Prime factors of 300=22 3
52
Prime factors of 360=23
32 50
Common prime factors: 2 , 3 , 5
Common prime factors with the
lowest exponent:
22, 31, 51
HCF =22 31
51 = 60

2

150
2

75
3

25
5

5
5

1

360
2

180
2

90
2

45
3

15
3

5
5

1

Prime factors of 240=2⁴ . 3 . 5 Prime factors of 300=2² . 3 . 5² Prime factors of 360=2³ . 3² . 50 Common prime factors: 2 , 3 , 5 Common prime factors with the lowest exponent: 2², 3¹, 5¹ HCF =2². 3¹. 5¹ = 60	2
150	2
75	3
25	5
5	5
1