What is gcd 48,72,96 ?

The solution to gcd 48,72,96 is 24

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Popular >

Find the GCF 48 , 72 , 96

Solution

gcf

48, 72, 96

Solution

24

Solution steps

48, 72, 96

Prime factorization of

48 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

48

48

divides by

248 = 24 \cdot 2

= 2 \cdot 24

24

divides by

224 = 12 \cdot 2

= 2 \cdot 2 \cdot 12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

Prime factorization of

72 : 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3

72

72

divides by

272 = 36 \cdot 2

= 2 \cdot 36

36

divides by

236 = 18 \cdot 2

= 2 \cdot 2 \cdot 18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3

Prime factorization of

96 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

96

96

divides by

296 = 48 \cdot 2

= 2 \cdot 48

48

divides by

248 = 24 \cdot 2

= 2 \cdot 2 \cdot 24

24

divides by

224 = 12 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

The prime factors common to

48, 72, 96

are

= 2 \cdot 2 \cdot 2 \cdot 3

Multiply the numbers:

2 \cdot 2 \cdot 2 \cdot 3 = 24

= 24

Popular Examples

Convert to a Mixed Number 29/7 mixed number

\frac{29}{7}

Convert to a Simplified Fraction 0.81 decimal to fraction

0.81

Subtract 180-66 long subtraction

180 - 66

Convert to a Mixed Number 3/10 mixed number

\frac{3}{10}

Write the Fraction in Simplest Form 8÷(5/6)

8/ (5/6)

Frequently Asked Questions (FAQ)

What is gcd 48,72,96 ?
The solution to gcd 48,72,96 is 24