What is gcd 14,28,42 ?

The solution to gcd 14,28,42 is 14

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Popular >

Find the GCF 14 , 28 , 42

gcf

14, 28, 42

14

Solution steps

14, 28, 42

Prime factorization of

14 : 2 \cdot 7

14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 7

Prime factorization of

28 : 2 \cdot 2 \cdot 7

28

28

divides by

228 = 14 \cdot 2

= 2 \cdot 14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \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

14, 28, 42

are

= 2 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= 14

t o a p erce n t a g e 0.2

\frac{76}{6}

1/2 + 1/3 + 1/4

80

\frac{7}{6}