Greatest Common Factor of 5891/378, 7849/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5891/378, 7849/377

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 5891/378,7849/377

Given fractions are 5891/378,7849/377

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 5891,7849

Greatest Common Factor of Numerators i.e. GCF of 5891,7849 is 1 .

LCM of Denominators means LCM of 378,377 as per the given fractions.

LCM of 378,377 is 142506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5891,7849

GCF of Fractions 5891/378,7849/377 is 1/142506

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

Greatest Common Factor of 5891,7849 By Matching Biggest Common Factor Method

Greatest Common Factor of 5891,7849 By Matching Biggest Common Factor Method

Factors of 5891

List of positive integer factors of 5891 that divides 5891 without a remainder.

1,43,137,5891

Factors of 7849

List of positive integer factors of 7849 that divides 7849 without a remainder.

1,47,167,7849

Greatest Common Factor

We found the factors 5891,7849 . The biggest common factor number is the GCF number.
So the greatest common factor 5891,7849 is 1.

Lets's calculate LCM of 378,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 142506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142506

Therefore, the GCF of Fractions 5891/378,7849/377 is 1/142506

Least Common Multiple of 378,377 with GCF Formula

Least Common Multiple of 378,377 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 378,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,377) = 1

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

GCF(378,377) x common factors =1 x 1 = 1

LCM(378,377) = ( 378 × 377 ) / 1

LCM(378,377) = 142506 / 1

LCM(378,377) = 142506


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 5891/378, 7849/377

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 5891/378, 7849/377?

Answer: GCF of Numerators as per given numbers 5891/378, 7849/377 is

GCF of Numerators i.e. for 5891,7849 is 1

LCM of denominators i.e. for 378,377 is 142506.

Thus, GCF of Fractions is 1/142506.Finally, GCF of Fractions for 5891/378, 7849/377 is 1/142506.