Greatest Common Factor of 7558/696, 6348/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7558/696, 6348/591

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 7558/696,6348/591

Given fractions are 7558/696,6348/591

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 7558,6348

Greatest Common Factor of Numerators i.e. GCF of 7558,6348 is 2 .

LCM of Denominators means LCM of 696,591 as per the given fractions.

LCM of 696,591 is 137112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7558,6348

GCF of Fractions 7558/696,6348/591 is 2/137112

2 7558, 6348
3779, 3174

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

Greatest Common Factor of 7558,6348 By Matching Biggest Common Factor Method

Greatest Common Factor of 7558,6348 By Matching Biggest Common Factor Method

Factors of 7558

List of positive integer factors of 7558 that divides 7558 without a remainder.

1,2,3779,7558

Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348

Greatest Common Factor

We found the factors 7558,6348 . The biggest common factor number is the GCF number.
So the greatest common factor 7558,6348 is 2.

Lets's calculate LCM of 696,591

3 696, 591
232, 197

∴ So the LCM of the given numbers is 3 x 232 x 197 = 137112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137112

Therefore, the GCF of Fractions 7558/696,6348/591 is 2/137112

Least Common Multiple of 696,591 with GCF Formula

Least Common Multiple of 696,591 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 696,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,591) = 3

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

GCF(696,591) x common factors =3 x 1 = 3

LCM(696,591) = ( 696 × 591 ) / 3

LCM(696,591) = 411336 / 3

LCM(696,591) = 137112


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 7558/696, 6348/591

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 7558/696, 6348/591?

Answer: GCF of Numerators as per given numbers 7558/696, 6348/591 is

GCF of Numerators i.e. for 7558,6348 is 2

LCM of denominators i.e. for 696,591 is 137112.

Thus, GCF of Fractions is 2/137112.Finally, GCF of Fractions for 7558/696, 6348/591 is 2/137112.