Greatest Common Factor of 8326/50, 6870/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8326/50, 6870/519

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 8326/50,6870/519

Given fractions are 8326/50,6870/519

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 8326,6870

Greatest Common Factor of Numerators i.e. GCF of 8326,6870 is 2 .

LCM of Denominators means LCM of 50,519 as per the given fractions.

LCM of 50,519 is 25950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8326,6870

GCF of Fractions 8326/50,6870/519 is 2/25950

2 8326, 6870
4163, 3435

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8326,6870 By Matching Biggest Common Factor Method

Greatest Common Factor of 8326,6870 By Matching Biggest Common Factor Method

Factors of 8326

List of positive integer factors of 8326 that divides 8326 without a remainder.

1,2,23,46,181,362,4163,8326

Factors of 6870

List of positive integer factors of 6870 that divides 6870 without a remainder.

1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870

Greatest Common Factor

We found the factors 8326,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 8326,6870 is 2.

Lets's calculate LCM of 50,519

Given numbers has no common factors except 1. So, there LCM is their product i.e 25950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25950

Therefore, the GCF of Fractions 8326/50,6870/519 is 2/25950

Least Common Multiple of 50,519 with GCF Formula

Least Common Multiple of 50,519 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 50,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,519) = 1

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

GCF(50,519) x common factors =1 x 1 = 1

LCM(50,519) = ( 50 × 519 ) / 1

LCM(50,519) = 25950 / 1

LCM(50,519) = 25950


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 8326/50, 6870/519

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 8326/50, 6870/519?

Answer: GCF of Numerators as per given numbers 8326/50, 6870/519 is

GCF of Numerators i.e. for 8326,6870 is 2

LCM of denominators i.e. for 50,519 is 25950.

Thus, GCF of Fractions is 2/25950.Finally, GCF of Fractions for 8326/50, 6870/519 is 2/25950.