What is gcd 35,63,84 ?

The solution to gcd 35,63,84 is 7

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Find the GCF 35 , 63 , 84

gcf

35, 63, 84

7

Solution steps

35, 63, 84

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

63 : 3 \cdot 3 \cdot 7

63

63

divides by

363 = 21 \cdot 3

= 3 \cdot 21

21

divides by

321 = 7 \cdot 3

= 3 \cdot 3 \cdot 7

3, 7

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 7

Prime factorization of

84 : 2 \cdot 2 \cdot 3 \cdot 7

84

84

divides by

284 = 42 \cdot 2

= 2 \cdot 42

42

divides by

242 = 21 \cdot 2

= 2 \cdot 2 \cdot 21

21

divides by

321 = 7 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 7

2, 3, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3 \cdot 7

The prime factors common to

35, 63, 84

are

= 7

144 + 256

0.18

45 - 28

3 \frac{4}{7}

\frac{41}{7}