What is gcd 140,210 ?

The solution to gcd 140,210 is 70

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Find the GCF 140 , 210

gcf

140, 210

70

Solution steps

140, 210

Prime factorization of

140 : 2 \cdot 2 \cdot 5 \cdot 7

140

140

divides by

2140 = 70 \cdot 2

= 2 \cdot 70

70

divides by

270 = 35 \cdot 2

= 2 \cdot 2 \cdot 35

35

divides by

535 = 7 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 7

2, 5, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 7

Prime factorization of

210 : 2 \cdot 3 \cdot 5 \cdot 7

210

210

divides by

2210 = 105 \cdot 2

= 2 \cdot 105

105

divides by

3105 = 35 \cdot 3

= 2 \cdot 3 \cdot 35

35

divides by

535 = 7 \cdot 5

= 2 \cdot 3 \cdot 5 \cdot 7

2, 3, 5, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 5 \cdot 7

The prime factors common to

140, 210

are

= 2 \cdot 5 \cdot 7

Multiply the numbers:

2 \cdot 5 \cdot 7 = 70

= 70

t o a p erce n t a g e 0.0037

1.83

165 \cdot 2

5.33333

\frac{256}{8}