Greatest Common Factor of 2596/94, 1357/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2596/94, 1357/397

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 2596/94,1357/397

Given fractions are 2596/94,1357/397

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 2596,1357

Greatest Common Factor of Numerators i.e. GCF of 2596,1357 is 59 .

LCM of Denominators means LCM of 94,397 as per the given fractions.

LCM of 94,397 is 37318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2596,1357

GCF of Fractions 2596/94,1357/397 is 59/37318

59 2596, 1357
44, 23

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 2596,1357 By Matching Biggest Common Factor Method

Greatest Common Factor of 2596,1357 By Matching Biggest Common Factor Method

Factors of 2596

List of positive integer factors of 2596 that divides 2596 without a remainder.

1,2,4,11,22,44,59,118,236,649,1298,2596

Factors of 1357

List of positive integer factors of 1357 that divides 1357 without a remainder.

1,23,59,1357

Greatest Common Factor

We found the factors 2596,1357 . The biggest common factor number is the GCF number.
So the greatest common factor 2596,1357 is 59.

Lets's calculate LCM of 94,397

Given numbers has no common factors except 1. So, there LCM is their product i.e 37318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/37318

Therefore, the GCF of Fractions 2596/94,1357/397 is 59/37318

Least Common Multiple of 94,397 with GCF Formula

Least Common Multiple of 94,397 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 94,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,397) = 1

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

GCF(94,397) x common factors =1 x 1 = 1

LCM(94,397) = ( 94 × 397 ) / 1

LCM(94,397) = 37318 / 1

LCM(94,397) = 37318


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 2596/94, 1357/397

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 2596/94, 1357/397?

Answer: GCF of Numerators as per given numbers 2596/94, 1357/397 is

GCF of Numerators i.e. for 2596,1357 is 59

LCM of denominators i.e. for 94,397 is 37318.

Thus, GCF of Fractions is 59/37318.Finally, GCF of Fractions for 2596/94, 1357/397 is 59/37318.