The solution to gcd 6,8,14 is 2

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Find the GCF 6 , 8 , 14

Solution

gcf

6, 8, 14

2

Solution steps

6, 8, 14

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

Prime factorization of

14 : 2 \cdot 7

14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 7

The prime factors common to

6, 8, 14

are

= 2

\frac{23}{6}

1.08

11.2

\frac{600}{30}

t o a p erce n t a g e 5.97