Greatest Common Factor of 2938/398, 7039/4331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2938/398, 7039/4331

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 2938/398,7039/4331

Given fractions are 2938/398,7039/4331

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 2938,7039

Greatest Common Factor of Numerators i.e. GCF of 2938,7039 is 1 .

LCM of Denominators means LCM of 398,4331 as per the given fractions.

LCM of 398,4331 is 1723738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2938,7039

GCF of Fractions 2938/398,7039/4331 is 1/1723738

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

Greatest Common Factor of 2938,7039 By Matching Biggest Common Factor Method

Greatest Common Factor of 2938,7039 By Matching Biggest Common Factor Method

Factors of 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1,2,13,26,113,226,1469,2938

Factors of 7039

List of positive integer factors of 7039 that divides 7039 without a remainder.

1,7039

Greatest Common Factor

We found the factors 2938,7039 . The biggest common factor number is the GCF number.
So the greatest common factor 2938,7039 is 1.

Lets's calculate LCM of 398,4331

Given numbers has no common factors except 1. So, there LCM is their product i.e 1723738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1723738

Therefore, the GCF of Fractions 2938/398,7039/4331 is 1/1723738

Least Common Multiple of 398,4331 with GCF Formula

Least Common Multiple of 398,4331 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 398,4331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,4331) = 1

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

GCF(398,4331) x common factors =1 x 1 = 1

LCM(398,4331) = ( 398 × 4331 ) / 1

LCM(398,4331) = 1723738 / 1

LCM(398,4331) = 1723738


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 2938/398, 7039/4331

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 2938/398, 7039/4331?

Answer: GCF of Numerators as per given numbers 2938/398, 7039/4331 is

GCF of Numerators i.e. for 2938,7039 is 1

LCM of denominators i.e. for 398,4331 is 1723738.

Thus, GCF of Fractions is 1/1723738.Finally, GCF of Fractions for 2938/398, 7039/4331 is 1/1723738.