What is gcd 63,45,81 ?

The solution to gcd 63,45,81 is 9

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Find the GCF 63 , 45 , 81

gcf

63, 45, 81

9

Solution steps

63, 45, 81

Prime factorization of

63 : 3 \cdot 3 \cdot 7

63

63

divides by

363 = 21 \cdot 3

= 3 \cdot 21

21

divides by

321 = 7 \cdot 3

= 3 \cdot 3 \cdot 7

3, 7

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 7

Prime factorization of

45 : 3 \cdot 3 \cdot 5

45

45

divides by

345 = 15 \cdot 3

= 3 \cdot 15

15

divides by

315 = 5 \cdot 3

= 3 \cdot 3 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 3 \cdot 5

Prime factorization of

81 : 3 \cdot 3 \cdot 3 \cdot 3

81

81

divides by

381 = 27 \cdot 3

= 3 \cdot 27

27

divides by

327 = 9 \cdot 3

= 3 \cdot 3 \cdot 9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3 \cdot 3 \cdot 3

The prime factors common to

63, 45, 81

are

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

1.76

49 \cdot 49

\frac{47}{12}

576

100 - 29