Greatest Common Factor of 6912/672, 5676/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6912/672, 5676/833

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 6912/672,5676/833

Given fractions are 6912/672,5676/833

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 6912,5676

Greatest Common Factor of Numerators i.e. GCF of 6912,5676 is 12 .

LCM of Denominators means LCM of 672,833 as per the given fractions.

LCM of 672,833 is 79968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6912,5676

GCF of Fractions 6912/672,5676/833 is 12/79968

2 6912, 5676
2 3456, 2838
3 1728, 1419
576, 473

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 6912,5676 By Matching Biggest Common Factor Method

Greatest Common Factor of 6912,5676 By Matching Biggest Common Factor Method

Factors of 6912

List of positive integer factors of 6912 that divides 6912 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676

Greatest Common Factor

We found the factors 6912,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 6912,5676 is 12.

Lets's calculate LCM of 672,833

7 672, 833
96, 119

∴ So the LCM of the given numbers is 7 x 96 x 119 = 79968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/79968

Therefore, the GCF of Fractions 6912/672,5676/833 is 12/79968

Least Common Multiple of 672,833 with GCF Formula

Least Common Multiple of 672,833 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 672,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,833) = 7

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

GCF(672,833) x common factors =7 x 1 = 7

LCM(672,833) = ( 672 × 833 ) / 7

LCM(672,833) = 559776 / 7

LCM(672,833) = 79968


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 6912/672, 5676/833

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 6912/672, 5676/833?

Answer: GCF of Numerators as per given numbers 6912/672, 5676/833 is

GCF of Numerators i.e. for 6912,5676 is 12

LCM of denominators i.e. for 672,833 is 79968.

Thus, GCF of Fractions is 12/79968.Finally, GCF of Fractions for 6912/672, 5676/833 is 12/79968.