Greatest Common Factor of 8398/124, 7903/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8398/124, 7903/978

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 8398/124,7903/978

Given fractions are 8398/124,7903/978

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 8398,7903

Greatest Common Factor of Numerators i.e. GCF of 8398,7903 is 1 .

LCM of Denominators means LCM of 124,978 as per the given fractions.

LCM of 124,978 is 60636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8398,7903

GCF of Fractions 8398/124,7903/978 is 1/60636

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

Greatest Common Factor of 8398,7903 By Matching Biggest Common Factor Method

Greatest Common Factor of 8398,7903 By Matching Biggest Common Factor Method

Factors of 8398

List of positive integer factors of 8398 that divides 8398 without a remainder.

1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398

Factors of 7903

List of positive integer factors of 7903 that divides 7903 without a remainder.

1,7,1129,7903

Greatest Common Factor

We found the factors 8398,7903 . The biggest common factor number is the GCF number.
So the greatest common factor 8398,7903 is 1.

Lets's calculate LCM of 124,978

2 124, 978
62, 489

∴ So the LCM of the given numbers is 2 x 62 x 489 = 60636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60636

Therefore, the GCF of Fractions 8398/124,7903/978 is 1/60636

Least Common Multiple of 124,978 with GCF Formula

Least Common Multiple of 124,978 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 124,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,978) = 2

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

GCF(124,978) x common factors =2 x 1 = 2

LCM(124,978) = ( 124 × 978 ) / 2

LCM(124,978) = 121272 / 2

LCM(124,978) = 60636


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 8398/124, 7903/978

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 8398/124, 7903/978?

Answer: GCF of Numerators as per given numbers 8398/124, 7903/978 is

GCF of Numerators i.e. for 8398,7903 is 1

LCM of denominators i.e. for 124,978 is 60636.

Thus, GCF of Fractions is 1/60636.Finally, GCF of Fractions for 8398/124, 7903/978 is 1/60636.