Greatest Common Factor of 7613/789, 8187/6824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7613/789, 8187/6824

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 7613/789,8187/6824

Given fractions are 7613/789,8187/6824

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 7613,8187

Greatest Common Factor of Numerators i.e. GCF of 7613,8187 is 1 .

LCM of Denominators means LCM of 789,6824 as per the given fractions.

LCM of 789,6824 is 5384136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7613,8187

GCF of Fractions 7613/789,8187/6824 is 1/5384136

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

Greatest Common Factor of 7613,8187 By Matching Biggest Common Factor Method

Greatest Common Factor of 7613,8187 By Matching Biggest Common Factor Method

Factors of 7613

List of positive integer factors of 7613 that divides 7613 without a remainder.

1,23,331,7613

Factors of 8187

List of positive integer factors of 8187 that divides 8187 without a remainder.

1,3,2729,8187

Greatest Common Factor

We found the factors 7613,8187 . The biggest common factor number is the GCF number.
So the greatest common factor 7613,8187 is 1.

Lets's calculate LCM of 789,6824

Given numbers has no common factors except 1. So, there LCM is their product i.e 5384136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5384136

Therefore, the GCF of Fractions 7613/789,8187/6824 is 1/5384136

Least Common Multiple of 789,6824 with GCF Formula

Least Common Multiple of 789,6824 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 789,6824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,6824) = 1

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

GCF(789,6824) x common factors =1 x 1 = 1

LCM(789,6824) = ( 789 × 6824 ) / 1

LCM(789,6824) = 5384136 / 1

LCM(789,6824) = 5384136


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 7613/789, 8187/6824

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 7613/789, 8187/6824?

Answer: GCF of Numerators as per given numbers 7613/789, 8187/6824 is

GCF of Numerators i.e. for 7613,8187 is 1

LCM of denominators i.e. for 789,6824 is 5384136.

Thus, GCF of Fractions is 1/5384136.Finally, GCF of Fractions for 7613/789, 8187/6824 is 1/5384136.