Greatest Common Factor of 5616/721, 8912/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5616/721, 8912/248

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5616/721,8912/248

Given fractions are 5616/721,8912/248

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5616,8912

Greatest Common Factor of Numerators i.e. GCF of 5616,8912 is 16 .

LCM of Denominators means LCM of 721,248 as per the given fractions.

LCM of 721,248 is 178808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5616,8912

GCF of Fractions 5616/721,8912/248 is 16/178808

2 5616, 8912
2 2808, 4456
2 1404, 2228
2 702, 1114
351, 557

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 5616,8912 By Matching Biggest Common Factor Method

Greatest Common Factor of 5616,8912 By Matching Biggest Common Factor Method

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Factors of 8912

List of positive integer factors of 8912 that divides 8912 without a remainder.

1,2,4,8,16,557,1114,2228,4456,8912

Greatest Common Factor

We found the factors 5616,8912 . The biggest common factor number is the GCF number.
So the greatest common factor 5616,8912 is 16.

Lets's calculate LCM of 721,248

Given numbers has no common factors except 1. So, there LCM is their product i.e 178808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/178808

Therefore, the GCF of Fractions 5616/721,8912/248 is 16/178808

Least Common Multiple of 721,248 with GCF Formula

Least Common Multiple of 721,248 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 721,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,248) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(721,248) x common factors =1 x 1 = 1

LCM(721,248) = ( 721 × 248 ) / 1

LCM(721,248) = 178808 / 1

LCM(721,248) = 178808


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5616/721, 8912/248

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5616/721, 8912/248?

Answer: GCF of Numerators as per given numbers 5616/721, 8912/248 is

GCF of Numerators i.e. for 5616,8912 is 16

LCM of denominators i.e. for 721,248 is 178808.

Thus, GCF of Fractions is 16/178808.Finally, GCF of Fractions for 5616/721, 8912/248 is 16/178808.