Question

which of tha following pair of number has a GCF of 6

A.2 and 3
B.8 and 12
C.6 and 10
D.12 and 18​

Answer 1

Answer:

A.2 and 3

Step-by-step explanation:

6 has 3 factors : 1,2,3

highest factors are 2 and 3

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

which of the following pair of number has a GCF of 6

A. 2 and 3

B. 8 and 12

C. 6 and 10

D. 12 and 18

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

EVALUATION

CHECKING FOR OPTION : A

Here the given numbers are 2 and 3

Since 2 and 3 are prime to each other

So GCF = 1

CHECKING FOR OPTION : B

Here the given numbers are 8 and 12

8 = 2 × 2 × 2

12 = 2 × 2 × 3

So GCF = 2 × 2 = 4

CHECKING FOR OPTION : C

Here the given numbers are 6 and 10

6 = 2 × 3

10 = 2 × 5

So GCF = 2

CHECKING FOR OPTION : D

Here the given numbers are 12 and 18

12 = 2 × 2 × 3

18 = 2 × 3 × 3

So GCF = 2 × 3 = 6

FINAL ANSWER

Hence the correct option is D. 12 and 18

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