Question

Determine the common factors and HCF for each of the following terms.

Answer 1

Answer: Please see explanation column for answers

Step-by-step explanation:

When a number  divides into another number without a remainder, it s called a factor of that number.  Lets say we want to  find the common factors of two numbers, we get the  factors of each one and  compare them. The common factor is the one that is found in both lists

While The Highest common factor, is the highest factor number found in both lists.

b) 2b , 3b

Factors of 2b= 1, 2 and b

Factors of 3b=1, 3 and b

Common factors =1 and  b

HCF=1b

e) 5bc, 2c2, 3cd

Factors of 5bc=  1, 5, b, c

Factors of 2c2= 1,  2, c, c2

Factors of  3cd= 1, 3, c, d

Common factors = 1 and c

HCF= 1c

f) 4a2b, 8b2c, 6bcd

Factors of 4a2b=  1, 2, 4, a, a2, b

Factors of 8b2c= 1, 2, 4, 8, b, b2, c

Factors of  6bcd= 1, 2,3,6, b, c,d

Common factors = 1, 2 , b

HCF=  2b