Greatest Common Factor of 6864/441, 5915/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6864/441, 5915/774

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 6864/441,5915/774

Given fractions are 6864/441,5915/774

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 6864,5915

Greatest Common Factor of Numerators i.e. GCF of 6864,5915 is 13 .

LCM of Denominators means LCM of 441,774 as per the given fractions.

LCM of 441,774 is 37926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6864,5915

GCF of Fractions 6864/441,5915/774 is 13/37926

13 6864, 5915
528, 455

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6864,5915 By Matching Biggest Common Factor Method

Greatest Common Factor of 6864,5915 By Matching Biggest Common Factor Method

Factors of 6864

List of positive integer factors of 6864 that divides 6864 without a remainder.

1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864

Factors of 5915

List of positive integer factors of 5915 that divides 5915 without a remainder.

1,5,7,13,35,65,91,169,455,845,1183,5915

Greatest Common Factor

We found the factors 6864,5915 . The biggest common factor number is the GCF number.
So the greatest common factor 6864,5915 is 13.

Lets's calculate LCM of 441,774

3 441, 774
3 147, 258
49, 86

∴ So the LCM of the given numbers is 3 x 3 x 49 x 86 = 37926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/37926

Therefore, the GCF of Fractions 6864/441,5915/774 is 13/37926

Least Common Multiple of 441,774 with GCF Formula

Least Common Multiple of 441,774 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 441,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,774) = 9

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

GCF(441,774) x common factors =9 x 1 = 9

LCM(441,774) = ( 441 × 774 ) / 9

LCM(441,774) = 341334 / 9

LCM(441,774) = 37926


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 6864/441, 5915/774

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 6864/441, 5915/774?

Answer: GCF of Numerators as per given numbers 6864/441, 5915/774 is

GCF of Numerators i.e. for 6864,5915 is 13

LCM of denominators i.e. for 441,774 is 37926.

Thus, GCF of Fractions is 13/37926.Finally, GCF of Fractions for 6864/441, 5915/774 is 13/37926.