Greatest Common Factor of 3739/931, 5950/2589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3739/931, 5950/2589

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 3739/931,5950/2589

Given fractions are 3739/931,5950/2589

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 3739,5950

Greatest Common Factor of Numerators i.e. GCF of 3739,5950 is 1 .

LCM of Denominators means LCM of 931,2589 as per the given fractions.

LCM of 931,2589 is 2410359 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3739,5950

GCF of Fractions 3739/931,5950/2589 is 1/2410359

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

Greatest Common Factor of 3739,5950 By Matching Biggest Common Factor Method

Greatest Common Factor of 3739,5950 By Matching Biggest Common Factor Method

Factors of 3739

List of positive integer factors of 3739 that divides 3739 without a remainder.

1,3739

Factors of 5950

List of positive integer factors of 5950 that divides 5950 without a remainder.

1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950

Greatest Common Factor

We found the factors 3739,5950 . The biggest common factor number is the GCF number.
So the greatest common factor 3739,5950 is 1.

Lets's calculate LCM of 931,2589

Given numbers has no common factors except 1. So, there LCM is their product i.e 2410359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2410359

Therefore, the GCF of Fractions 3739/931,5950/2589 is 1/2410359

Least Common Multiple of 931,2589 with GCF Formula

Least Common Multiple of 931,2589 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 931,2589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,2589) = 1

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

GCF(931,2589) x common factors =1 x 1 = 1

LCM(931,2589) = ( 931 × 2589 ) / 1

LCM(931,2589) = 2410359 / 1

LCM(931,2589) = 2410359


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 3739/931, 5950/2589

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 3739/931, 5950/2589?

Answer: GCF of Numerators as per given numbers 3739/931, 5950/2589 is

GCF of Numerators i.e. for 3739,5950 is 1

LCM of denominators i.e. for 931,2589 is 2410359.

Thus, GCF of Fractions is 1/2410359.Finally, GCF of Fractions for 3739/931, 5950/2589 is 1/2410359.