Greatest Common Factor of 7324/779, 2950/9761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7324/779, 2950/9761

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 7324/779,2950/9761

Given fractions are 7324/779,2950/9761

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 7324,2950

Greatest Common Factor of Numerators i.e. GCF of 7324,2950 is 2 .

LCM of Denominators means LCM of 779,9761 as per the given fractions.

LCM of 779,9761 is 7603819 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7324,2950

GCF of Fractions 7324/779,2950/9761 is 2/7603819

2 7324, 2950
3662, 1475

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

Greatest Common Factor of 7324,2950 By Matching Biggest Common Factor Method

Greatest Common Factor of 7324,2950 By Matching Biggest Common Factor Method

Factors of 7324

List of positive integer factors of 7324 that divides 7324 without a remainder.

1,2,4,1831,3662,7324

Factors of 2950

List of positive integer factors of 2950 that divides 2950 without a remainder.

1,2,5,10,25,50,59,118,295,590,1475,2950

Greatest Common Factor

We found the factors 7324,2950 . The biggest common factor number is the GCF number.
So the greatest common factor 7324,2950 is 2.

Lets's calculate LCM of 779,9761

Given numbers has no common factors except 1. So, there LCM is their product i.e 7603819

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7603819

Therefore, the GCF of Fractions 7324/779,2950/9761 is 2/7603819

Least Common Multiple of 779,9761 with GCF Formula

Least Common Multiple of 779,9761 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 779,9761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,9761) = 1

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

GCF(779,9761) x common factors =1 x 1 = 1

LCM(779,9761) = ( 779 × 9761 ) / 1

LCM(779,9761) = 7603819 / 1

LCM(779,9761) = 7603819


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 7324/779, 2950/9761

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 7324/779, 2950/9761?

Answer: GCF of Numerators as per given numbers 7324/779, 2950/9761 is

GCF of Numerators i.e. for 7324,2950 is 2

LCM of denominators i.e. for 779,9761 is 7603819.

Thus, GCF of Fractions is 2/7603819.Finally, GCF of Fractions for 7324/779, 2950/9761 is 2/7603819.