What is gcd 6,12,18 ?

The solution to gcd 6,12,18 is 6

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Find the GCF 6 , 12 , 18

gcf

6, 12, 18

6

Solution steps

6, 12, 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

12 : 2 \cdot 2 \cdot 3

12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \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, 12, 18

are

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

\frac{1}{25}

1/ (12/13)

0.41

- 5/18 - 7/18

\frac{47}{7}