Question

What is the hcf of 120 84 and 144

Answer 1

Answer:

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84. So, the Greatest Common Factor for these numbers is 12 because it divides all them without a remainder.

Answer 2

Answer: 12

Step-by-step explanation: HCF by prime factorization method

120/2=60

60/2=30

30/2=15

15/3=5

5/5=1

Prime factors of 120= 2x2x2x3x5

84/2=42

42/2=21

21/3=7

7/7=1

Prime factors of 84= 2x2x3x7

144/2=72

72/2=36

36/2=18

18/2=9

9/3=3

3/3=1

Prime factors of 144= 2x2x2x2x3x3

Common prime factors of 120, 84 and 144 = Numbers common between

(2)x(2)x2x(3)x5,

(2)x(2)x(3)x7, and

(2)x(2)x2x2x(3)x3                             (all common numbers are put in brackets)

=2x2x3                                                                

= 12

Therefore, the HCF of 120, 84 and 144 is 12