What is gcd 18,27,36 ?

The solution to gcd 18,27,36 is 9

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Find the GCF 18 , 27 , 36

gcf

18, 27, 36

9

Solution steps

18, 27, 36

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

Prime factorization of

27 : 3 \cdot 3 \cdot 3

27

27

divides by

327 = 9 \cdot 3

= 3 \cdot 9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3 \cdot 3

Prime factorization of

36 : 2 \cdot 2 \cdot 3 \cdot 3

36

36

divides by

236 = 18 \cdot 2

= 2 \cdot 18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3 \cdot 3

The prime factors common to

18, 27, 36

are

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

\frac{56}{2}

\frac{400}{5}

\frac{45}{4}

t o a p erce n t a g e 39/40

t o a p erce n t a g e 42/60