Greatest Common Factor of 991/337, 3838/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/337, 3838/858

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 991/337,3838/858

Given fractions are 991/337,3838/858

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 991,3838

Greatest Common Factor of Numerators i.e. GCF of 991,3838 is 1 .

LCM of Denominators means LCM of 337,858 as per the given fractions.

LCM of 337,858 is 289146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,3838

GCF of Fractions 991/337,3838/858 is 1/289146

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

Greatest Common Factor of 991,3838 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,3838 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 3838

List of positive integer factors of 3838 that divides 3838 without a remainder.

1,2,19,38,101,202,1919,3838

Greatest Common Factor

We found the factors 991,3838 . The biggest common factor number is the GCF number.
So the greatest common factor 991,3838 is 1.

Lets's calculate LCM of 337,858

Given numbers has no common factors except 1. So, there LCM is their product i.e 289146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289146

Therefore, the GCF of Fractions 991/337,3838/858 is 1/289146

Least Common Multiple of 337,858 with GCF Formula

Least Common Multiple of 337,858 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 337,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,858) = 1

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

GCF(337,858) x common factors =1 x 1 = 1

LCM(337,858) = ( 337 × 858 ) / 1

LCM(337,858) = 289146 / 1

LCM(337,858) = 289146


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 991/337, 3838/858

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 991/337, 3838/858?

Answer: GCF of Numerators as per given numbers 991/337, 3838/858 is

GCF of Numerators i.e. for 991,3838 is 1

LCM of denominators i.e. for 337,858 is 289146.

Thus, GCF of Fractions is 1/289146.Finally, GCF of Fractions for 991/337, 3838/858 is 1/289146.