Greatest Common Factor of 5791/290, 7678/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5791/290, 7678/413

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 5791/290,7678/413

Given fractions are 5791/290,7678/413

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 5791,7678

Greatest Common Factor of Numerators i.e. GCF of 5791,7678 is 1 .

LCM of Denominators means LCM of 290,413 as per the given fractions.

LCM of 290,413 is 119770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5791,7678

GCF of Fractions 5791/290,7678/413 is 1/119770

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5791,7678 By Matching Biggest Common Factor Method

Greatest Common Factor of 5791,7678 By Matching Biggest Common Factor Method

Factors of 5791

List of positive integer factors of 5791 that divides 5791 without a remainder.

1,5791

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1,2,11,22,349,698,3839,7678

Greatest Common Factor

We found the factors 5791,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 5791,7678 is 1.

Lets's calculate LCM of 290,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 119770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119770

Therefore, the GCF of Fractions 5791/290,7678/413 is 1/119770

Least Common Multiple of 290,413 with GCF Formula

Least Common Multiple of 290,413 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 290,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,413) = 1

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

GCF(290,413) x common factors =1 x 1 = 1

LCM(290,413) = ( 290 × 413 ) / 1

LCM(290,413) = 119770 / 1

LCM(290,413) = 119770


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 5791/290, 7678/413

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 5791/290, 7678/413?

Answer: GCF of Numerators as per given numbers 5791/290, 7678/413 is

GCF of Numerators i.e. for 5791,7678 is 1

LCM of denominators i.e. for 290,413 is 119770.

Thus, GCF of Fractions is 1/119770.Finally, GCF of Fractions for 5791/290, 7678/413 is 1/119770.