What is gcd 44,12,28 ?

The solution to gcd 44,12,28 is 4

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Find the GCF 44 , 12 , 28

gcf

44, 12, 28

4

Solution steps

44, 12, 28

Prime factorization of

44 : 2 \cdot 2 \cdot 11

44

44

divides by

244 = 22 \cdot 2

= 2 \cdot 22

22

divides by

222 = 11 \cdot 2

= 2 \cdot 2 \cdot 11

2, 11

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 11

Prime factorization of

12 : 2 \cdot 2 \cdot 3

12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3

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

The prime factors common to

44, 12, 28

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

\frac{65}{3}

\frac{28}{12}

21 \cdot 15

t h e \frac{57}{76}

(1/5) /100