The solution to gcd 38,76 is 38

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Find the GCF 38 , 76

Solution

gcf

38, 76

38

Solution steps

38, 76

Prime factorization of

38 : 2 \cdot 19

38

38

divides by

238 = 19 \cdot 2

= 2 \cdot 19

2, 19

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 19

Prime factorization of

76 : 2 \cdot 2 \cdot 19

76

76

divides by

276 = 38 \cdot 2

= 2 \cdot 38

38

divides by

238 = 19 \cdot 2

= 2 \cdot 2 \cdot 19

2, 19

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 19

The prime factors common to

38, 76

are

= 2 \cdot 19

Multiply the numbers:

2 \cdot 19 = 38

= 38

t h e \frac{120}{180}

6.9

t h e \frac{28}{52}

\frac{156}{12}

3.25 \cdot 4