Greatest Common Factor of 9566/679, 8398/7061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9566/679, 8398/7061

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 9566/679,8398/7061

Given fractions are 9566/679,8398/7061

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 9566,8398

Greatest Common Factor of Numerators i.e. GCF of 9566,8398 is 2 .

LCM of Denominators means LCM of 679,7061 as per the given fractions.

LCM of 679,7061 is 4794419 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9566,8398

GCF of Fractions 9566/679,8398/7061 is 2/4794419

2 9566, 8398
4783, 4199

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

Greatest Common Factor of 9566,8398 By Matching Biggest Common Factor Method

Greatest Common Factor of 9566,8398 By Matching Biggest Common Factor Method

Factors of 9566

List of positive integer factors of 9566 that divides 9566 without a remainder.

1,2,4783,9566

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

Greatest Common Factor

We found the factors 9566,8398 . The biggest common factor number is the GCF number.
So the greatest common factor 9566,8398 is 2.

Lets's calculate LCM of 679,7061

Given numbers has no common factors except 1. So, there LCM is their product i.e 4794419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4794419

Therefore, the GCF of Fractions 9566/679,8398/7061 is 2/4794419

Least Common Multiple of 679,7061 with GCF Formula

Least Common Multiple of 679,7061 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 679,7061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,7061) = 1

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

GCF(679,7061) x common factors =1 x 1 = 1

LCM(679,7061) = ( 679 × 7061 ) / 1

LCM(679,7061) = 4794419 / 1

LCM(679,7061) = 4794419


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 9566/679, 8398/7061

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 9566/679, 8398/7061?

Answer: GCF of Numerators as per given numbers 9566/679, 8398/7061 is

GCF of Numerators i.e. for 9566,8398 is 2

LCM of denominators i.e. for 679,7061 is 4794419.

Thus, GCF of Fractions is 2/4794419.Finally, GCF of Fractions for 9566/679, 8398/7061 is 2/4794419.