What is gcd 21,35,42 ?

The solution to gcd 21,35,42 is 7

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Find the GCF 21 , 35 , 42

gcf

21, 35, 42

7

Solution steps

21, 35, 42

Prime factorization of

21 : 3 \cdot 7

21

21

divides by

321 = 7 \cdot 3

= 3 \cdot 7

3, 7

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 7

Prime factorization of

35 : 5 \cdot 7

35

35

divides by

535 = 7 \cdot 5

= 5 \cdot 7

5, 7

are all prime numbers, therefore no further factorization is possible

= 5 \cdot 7

Prime factorization of

42 : 2 \cdot 3 \cdot 7

42

42

divides by

242 = 21 \cdot 2

= 2 \cdot 21

21

divides by

321 = 7 \cdot 3

= 2 \cdot 3 \cdot 7

2, 3, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 7

The prime factors common to

21, 35, 42

are

= 7

2.333

0.666666667

\frac{44}{12}

t o a p erce n t a g e 7/16

\frac{55}{3}