What is gcd 10,20,40 ?

The solution to gcd 10,20,40 is 10

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Find the GCF 10 , 20 , 40

gcf

10, 20, 40

10

Solution steps

10, 20, 40

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

Prime factorization of

20 : 2 \cdot 2 \cdot 5

20

20

divides by

220 = 10 \cdot 2

= 2 \cdot 10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5

Prime factorization of

40 : 2 \cdot 2 \cdot 2 \cdot 5

40

40

divides by

240 = 20 \cdot 2

= 2 \cdot 20

20

divides by

220 = 10 \cdot 2

= 2 \cdot 2 \cdot 10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 5

The prime factors common to

10, 20, 40

are

= 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 10

56.25

\frac{180}{29}

135, 225, 45

72, 36

1.55