Greatest Common Factor of 3937/854, 5041/5948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3937/854, 5041/5948

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 3937/854,5041/5948

Given fractions are 3937/854,5041/5948

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 3937,5041

Greatest Common Factor of Numerators i.e. GCF of 3937,5041 is 1 .

LCM of Denominators means LCM of 854,5948 as per the given fractions.

LCM of 854,5948 is 2539796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3937,5041

GCF of Fractions 3937/854,5041/5948 is 1/2539796

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

Greatest Common Factor of 3937,5041 By Matching Biggest Common Factor Method

Greatest Common Factor of 3937,5041 By Matching Biggest Common Factor Method

Factors of 3937

List of positive integer factors of 3937 that divides 3937 without a remainder.

1,31,127,3937

Factors of 5041

List of positive integer factors of 5041 that divides 5041 without a remainder.

1,71,5041

Greatest Common Factor

We found the factors 3937,5041 . The biggest common factor number is the GCF number.
So the greatest common factor 3937,5041 is 1.

Lets's calculate LCM of 854,5948

2 854, 5948
427, 2974

∴ So the LCM of the given numbers is 2 x 427 x 2974 = 2539796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2539796

Therefore, the GCF of Fractions 3937/854,5041/5948 is 1/2539796

Least Common Multiple of 854,5948 with GCF Formula

Least Common Multiple of 854,5948 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 854,5948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,5948) = 2

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

GCF(854,5948) x common factors =2 x 1 = 2

LCM(854,5948) = ( 854 × 5948 ) / 2

LCM(854,5948) = 5079592 / 2

LCM(854,5948) = 2539796


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 3937/854, 5041/5948

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 3937/854, 5041/5948?

Answer: GCF of Numerators as per given numbers 3937/854, 5041/5948 is

GCF of Numerators i.e. for 3937,5041 is 1

LCM of denominators i.e. for 854,5948 is 2539796.

Thus, GCF of Fractions is 1/2539796.Finally, GCF of Fractions for 3937/854, 5041/5948 is 1/2539796.