The solution to gcd 6,8,10 is 2

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Find the GCF 6 , 8 , 10

Solution

gcf

6, 8, 10

2

Solution steps

6, 8, 10

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

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

Prime factorization of

10 : 2 \cdot 5

10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5

The prime factors common to

6, 8, 10

are

= 2

\frac{19}{3}

\frac{600}{4}

t o a p erce n t a g e 24/25

30 \cdot 12

t h e \frac{21}{32}