Greatest Common Factor of 7679/723, 7944/9874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7679/723, 7944/9874

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 7679/723,7944/9874

Given fractions are 7679/723,7944/9874

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 7679,7944

Greatest Common Factor of Numerators i.e. GCF of 7679,7944 is 1 .

LCM of Denominators means LCM of 723,9874 as per the given fractions.

LCM of 723,9874 is 7138902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7679,7944

GCF of Fractions 7679/723,7944/9874 is 1/7138902

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

Greatest Common Factor of 7679,7944 By Matching Biggest Common Factor Method

Greatest Common Factor of 7679,7944 By Matching Biggest Common Factor Method

Factors of 7679

List of positive integer factors of 7679 that divides 7679 without a remainder.

1,7,1097,7679

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

Greatest Common Factor

We found the factors 7679,7944 . The biggest common factor number is the GCF number.
So the greatest common factor 7679,7944 is 1.

Lets's calculate LCM of 723,9874

Given numbers has no common factors except 1. So, there LCM is their product i.e 7138902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7138902

Therefore, the GCF of Fractions 7679/723,7944/9874 is 1/7138902

Least Common Multiple of 723,9874 with GCF Formula

Least Common Multiple of 723,9874 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 723,9874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,9874) = 1

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

GCF(723,9874) x common factors =1 x 1 = 1

LCM(723,9874) = ( 723 × 9874 ) / 1

LCM(723,9874) = 7138902 / 1

LCM(723,9874) = 7138902


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 7679/723, 7944/9874

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 7679/723, 7944/9874?

Answer: GCF of Numerators as per given numbers 7679/723, 7944/9874 is

GCF of Numerators i.e. for 7679,7944 is 1

LCM of denominators i.e. for 723,9874 is 7138902.

Thus, GCF of Fractions is 1/7138902.Finally, GCF of Fractions for 7679/723, 7944/9874 is 1/7138902.