The solution to gcd 54,81 is 27

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Find the GCF 54 , 81

Solution

gcf

54, 81

27

Solution steps

54, 81

Prime factorization of

54 : 2 \cdot 3 \cdot 3 \cdot 3

54

54

divides by

254 = 27 \cdot 2

= 2 \cdot 27

27

divides by

327 = 9 \cdot 3

= 2 \cdot 3 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 3 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 3 \cdot 3

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

54, 81

are

= 3 \cdot 3 \cdot 3

Multiply the numbers:

3 \cdot 3 \cdot 3 = 27

= 27

6.1

\frac{192}{2}

108, 72

\frac{15}{7}

5 \frac{1}{4}