Greatest Common Factor of 4716/876, 5895/4671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4716/876, 5895/4671

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 4716/876,5895/4671

Given fractions are 4716/876,5895/4671

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 4716,5895

Greatest Common Factor of Numerators i.e. GCF of 4716,5895 is 1179 .

LCM of Denominators means LCM of 876,4671 as per the given fractions.

LCM of 876,4671 is 1363932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4716,5895

GCF of Fractions 4716/876,5895/4671 is 1179/1363932

3 4716, 5895
3 1572, 1965
131 524, 655
4, 5

∴ So the GCF of the given numbers is 3 x 3 x 131 = 1179

Greatest Common Factor of 4716,5895 By Matching Biggest Common Factor Method

Greatest Common Factor of 4716,5895 By Matching Biggest Common Factor Method

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716

Factors of 5895

List of positive integer factors of 5895 that divides 5895 without a remainder.

1,3,5,9,15,45,131,393,655,1179,1965,5895

Greatest Common Factor

We found the factors 4716,5895 . The biggest common factor number is the GCF number.
So the greatest common factor 4716,5895 is 1179.

Lets's calculate LCM of 876,4671

3 876, 4671
292, 1557

∴ So the LCM of the given numbers is 3 x 292 x 1557 = 1363932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1179/1363932

Therefore, the GCF of Fractions 4716/876,5895/4671 is 1179/1363932

Least Common Multiple of 876,4671 with GCF Formula

Least Common Multiple of 876,4671 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 876,4671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,4671) = 3

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

GCF(876,4671) x common factors =3 x 1 = 3

LCM(876,4671) = ( 876 × 4671 ) / 3

LCM(876,4671) = 4091796 / 3

LCM(876,4671) = 1363932


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 4716/876, 5895/4671

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 4716/876, 5895/4671?

Answer: GCF of Numerators as per given numbers 4716/876, 5895/4671 is

GCF of Numerators i.e. for 4716,5895 is 1179

LCM of denominators i.e. for 876,4671 is 1363932.

Thus, GCF of Fractions is 1179/1363932.Finally, GCF of Fractions for 4716/876, 5895/4671 is 1179/1363932.