The solution to gcd 6,9,18 is 3

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Find the GCF 6 , 9 , 18

Solution

gcf

6, 9, 18

3

Solution steps

6, 9, 18

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

9 : 3 \cdot 3

9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3

Prime factorization of

18 : 2 \cdot 3 \cdot 3

18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 3

The prime factors common to

6, 9, 18

are

= 3

t o a p erce n t a g e 6/8

27, 45

t o a p erce n t a g e 2/15

(5/3) /2

\frac{84}{3}