What is gcd 50,25,100 ?

The solution to gcd 50,25,100 is 25

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Find the GCF 50 , 25 , 100

gcf

50, 25, 100

25

Solution steps

50, 25, 100

Prime factorization of

50 : 2 \cdot 5 \cdot 5

50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5 \cdot 5

Prime factorization of

25 : 5 \cdot 5

25

25

divides by

525 = 5 \cdot 5

= 5 \cdot 5

Prime factorization of

100 : 2 \cdot 2 \cdot 5 \cdot 5

100

100

divides by

2100 = 50 \cdot 2

= 2 \cdot 50

50

divides by

250 = 25 \cdot 2

= 2 \cdot 2 \cdot 25

25

divides by

525 = 5 \cdot 5

= 2 \cdot 2 \cdot 5 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5 \cdot 5

The prime factors common to

50, 25, 100

are

= 5 \cdot 5

Multiply the numbers:

5 \cdot 5 = 25

= 25

\frac{98}{14}

(90/7) /1 \frac{3}{4}

35 \cdot 10

2.25 \cdot 10

175