Greatest Common Factor of 2098/638, 7707/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2098/638, 7707/426

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 2098/638,7707/426

Given fractions are 2098/638,7707/426

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 2098,7707

Greatest Common Factor of Numerators i.e. GCF of 2098,7707 is 1 .

LCM of Denominators means LCM of 638,426 as per the given fractions.

LCM of 638,426 is 135894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2098,7707

GCF of Fractions 2098/638,7707/426 is 1/135894

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

Greatest Common Factor of 2098,7707 By Matching Biggest Common Factor Method

Greatest Common Factor of 2098,7707 By Matching Biggest Common Factor Method

Factors of 2098

List of positive integer factors of 2098 that divides 2098 without a remainder.

1,2,1049,2098

Factors of 7707

List of positive integer factors of 7707 that divides 7707 without a remainder.

1,3,7,21,367,1101,2569,7707

Greatest Common Factor

We found the factors 2098,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 2098,7707 is 1.

Lets's calculate LCM of 638,426

2 638, 426
319, 213

∴ So the LCM of the given numbers is 2 x 319 x 213 = 135894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135894

Therefore, the GCF of Fractions 2098/638,7707/426 is 1/135894

Least Common Multiple of 638,426 with GCF Formula

Least Common Multiple of 638,426 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 638,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,426) = 2

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

GCF(638,426) x common factors =2 x 1 = 2

LCM(638,426) = ( 638 × 426 ) / 2

LCM(638,426) = 271788 / 2

LCM(638,426) = 135894


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 2098/638, 7707/426

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 2098/638, 7707/426?

Answer: GCF of Numerators as per given numbers 2098/638, 7707/426 is

GCF of Numerators i.e. for 2098,7707 is 1

LCM of denominators i.e. for 638,426 is 135894.

Thus, GCF of Fractions is 1/135894.Finally, GCF of Fractions for 2098/638, 7707/426 is 1/135894.