Question

Write the sets of all possible factors and the sets of common factors of the pairs of numbers, then find their H.C.F. could you show step by step.

a. 8,12

b. 12,18

c. 16,24

d. 20,30

e. 24, 36

Answer 1

a= 1,2,4 b= 1,2,3,6 c=1,2,4 d=1,2,5,10 e=1,2,3,4,6,12 H.C.F of all the pairs= 2

Explanation:

Factors of:

a. 8=1,2,4,8

12=1,2,3,4,6,12.

common factor=1,2,4

b. 12=1,2,3,4,6,12

18=1,2,3,6,9,18

common factor=1,2,3,6

c. 16=1,2,4,16

24=1,2,3,4,6,8,12,24

common factor=1,2,4

d. 20=1,2,4,5,10,20

30=1,2,3,5,6,10,15,30

common factor=1,2,5,10

e. 24=1,2,3,4,6,8,12,24

36=1,2,3,4,6,9,12,18,36

common factor=1,2,3,4,6,12

HIGHEST COMMON FACTOR (H.C.F)=

The factor common to the whole pairs

which is 1 and 2

therefore 1 multiplied by 2 which is equal to 2

(and in Mathematics means multiplication)