What is gcd 5,15,30 ?

The solution to gcd 5,15,30 is 5

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Find the GCF 5 , 15 , 30

gcf

5, 15, 30

5

Solution steps

5, 15, 30

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

Prime factorization of

15 : 3 \cdot 5

15

15

divides by

315 = 5 \cdot 3

= 3 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 5

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

The prime factors common to

5, 15, 30

are

= 5

t o a p erce n t a g e 19/30

\frac{15}{4}

6, 8, 10

\frac{19}{3}

\frac{600}{4}