What is gcd 18,30,54 ?

The solution to gcd 18,30,54 is 6

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Find the GCF 18 , 30 , 54

gcf

18, 30, 54

6

Solution steps

18, 30, 54

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

30 : 2 \cdot 3 \cdot 5

30

30

divides by

230 = 15 \cdot 2

= 2 \cdot 15

15

divides by

315 = 5 \cdot 3

= 2 \cdot 3 \cdot 5

2, 3, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 5

Prime factorization of

54 : 2 \cdot 3 \cdot 3 \cdot 3

54

54

divides by

254 = 27 \cdot 2

= 2 \cdot 27

27

divides by

327 = 9 \cdot 3

= 2 \cdot 3 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 3 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 3 \cdot 3

The prime factors common to

18, 30, 54

are

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

t o a p erce n t a g e 43/50

24, 28

\frac{5}{3}

\frac{15}{4}

\frac{17}{2}