asked 6.6k views
20 votes
Determine the common factors and HCF for each of the following terms.

b) 2b, 3b
e) 5bc, 2c2, 3cd
f) 4a2b, 8b2c, 6bcd

Help please and explanation..

asked
User SRG
by
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1 Answer

7 votes

Answer: Please see explanation column for answers

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

answered
User Phlox Midas
by
7.8k points
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