Greatest Common Factor of 5673/202, 7884/5696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5673/202, 7884/5696

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 5673/202,7884/5696

Given fractions are 5673/202,7884/5696

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 5673,7884

Greatest Common Factor of Numerators i.e. GCF of 5673,7884 is 3 .

LCM of Denominators means LCM of 202,5696 as per the given fractions.

LCM of 202,5696 is 575296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5673,7884

GCF of Fractions 5673/202,7884/5696 is 3/575296

3 5673, 7884
1891, 2628

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5673,7884 By Matching Biggest Common Factor Method

Greatest Common Factor of 5673,7884 By Matching Biggest Common Factor Method

Factors of 5673

List of positive integer factors of 5673 that divides 5673 without a remainder.

1,3,31,61,93,183,1891,5673

Factors of 7884

List of positive integer factors of 7884 that divides 7884 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884

Greatest Common Factor

We found the factors 5673,7884 . The biggest common factor number is the GCF number.
So the greatest common factor 5673,7884 is 3.

Lets's calculate LCM of 202,5696

2 202, 5696
101, 2848

∴ So the LCM of the given numbers is 2 x 101 x 2848 = 575296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/575296

Therefore, the GCF of Fractions 5673/202,7884/5696 is 3/575296

Least Common Multiple of 202,5696 with GCF Formula

Least Common Multiple of 202,5696 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 202,5696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,5696) = 2

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

GCF(202,5696) x common factors =2 x 1 = 2

LCM(202,5696) = ( 202 × 5696 ) / 2

LCM(202,5696) = 1150592 / 2

LCM(202,5696) = 575296


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 5673/202, 7884/5696

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 5673/202, 7884/5696?

Answer: GCF of Numerators as per given numbers 5673/202, 7884/5696 is

GCF of Numerators i.e. for 5673,7884 is 3

LCM of denominators i.e. for 202,5696 is 575296.

Thus, GCF of Fractions is 3/575296.Finally, GCF of Fractions for 5673/202, 7884/5696 is 3/575296.