Greatest Common Factor of 5902/796, 7790/3228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5902/796, 7790/3228

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 5902/796,7790/3228

Given fractions are 5902/796,7790/3228

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 5902,7790

Greatest Common Factor of Numerators i.e. GCF of 5902,7790 is 2 .

LCM of Denominators means LCM of 796,3228 as per the given fractions.

LCM of 796,3228 is 642372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5902,7790

GCF of Fractions 5902/796,7790/3228 is 2/642372

2 5902, 7790
2951, 3895

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

Greatest Common Factor of 5902,7790 By Matching Biggest Common Factor Method

Greatest Common Factor of 5902,7790 By Matching Biggest Common Factor Method

Factors of 5902

List of positive integer factors of 5902 that divides 5902 without a remainder.

1,2,13,26,227,454,2951,5902

Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790

Greatest Common Factor

We found the factors 5902,7790 . The biggest common factor number is the GCF number.
So the greatest common factor 5902,7790 is 2.

Lets's calculate LCM of 796,3228

2 796, 3228
2 398, 1614
199, 807

∴ So the LCM of the given numbers is 2 x 2 x 199 x 807 = 642372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/642372

Therefore, the GCF of Fractions 5902/796,7790/3228 is 2/642372

Least Common Multiple of 796,3228 with GCF Formula

Least Common Multiple of 796,3228 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 796,3228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,3228) = 4

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

GCF(796,3228) x common factors =4 x 1 = 4

LCM(796,3228) = ( 796 × 3228 ) / 4

LCM(796,3228) = 2569488 / 4

LCM(796,3228) = 642372


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 5902/796, 7790/3228

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 5902/796, 7790/3228?

Answer: GCF of Numerators as per given numbers 5902/796, 7790/3228 is

GCF of Numerators i.e. for 5902,7790 is 2

LCM of denominators i.e. for 796,3228 is 642372.

Thus, GCF of Fractions is 2/642372.Finally, GCF of Fractions for 5902/796, 7790/3228 is 2/642372.