The solution to gcd 75,90 is 15

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gcd 75,90

Solution

gcf

75, 90

15

Solution steps

75, 90

Prime factorization of

75 : 3 \cdot 5 \cdot 5

75

75

divides by

375 = 25 \cdot 3

= 3 \cdot 25

25

divides by

525 = 5 \cdot 5

= 3 \cdot 5 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 5 \cdot 5

Prime factorization of

90 : 2 \cdot 3 \cdot 3 \cdot 5

90

90

divides by

290 = 45 \cdot 2

= 2 \cdot 45

45

divides by

345 = 15 \cdot 3

= 2 \cdot 3 \cdot 15

15

divides by

315 = 5 \cdot 3

= 2 \cdot 3 \cdot 3 \cdot 5

2, 3, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 3 \cdot 5

The prime factors common to

75, 90

are

= 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 15

\frac{50}{10}

\frac{180}{3}

\frac{56}{14}

5.2

9 - 7 (3 - 1)^{2} + (2 + 1)