Greatest Common Factor of 7795/958, 7913/7906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7795/958, 7913/7906

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 7795/958,7913/7906

Given fractions are 7795/958,7913/7906

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 7795,7913

Greatest Common Factor of Numerators i.e. GCF of 7795,7913 is 1 .

LCM of Denominators means LCM of 958,7906 as per the given fractions.

LCM of 958,7906 is 3786974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7795,7913

GCF of Fractions 7795/958,7913/7906 is 1/3786974

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

Greatest Common Factor of 7795,7913 By Matching Biggest Common Factor Method

Greatest Common Factor of 7795,7913 By Matching Biggest Common Factor Method

Factors of 7795

List of positive integer factors of 7795 that divides 7795 without a remainder.

1,5,1559,7795

Factors of 7913

List of positive integer factors of 7913 that divides 7913 without a remainder.

1,41,193,7913

Greatest Common Factor

We found the factors 7795,7913 . The biggest common factor number is the GCF number.
So the greatest common factor 7795,7913 is 1.

Lets's calculate LCM of 958,7906

2 958, 7906
479, 3953

∴ So the LCM of the given numbers is 2 x 479 x 3953 = 3786974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3786974

Therefore, the GCF of Fractions 7795/958,7913/7906 is 1/3786974

Least Common Multiple of 958,7906 with GCF Formula

Least Common Multiple of 958,7906 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 958,7906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,7906) = 2

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

GCF(958,7906) x common factors =2 x 1 = 2

LCM(958,7906) = ( 958 × 7906 ) / 2

LCM(958,7906) = 7573948 / 2

LCM(958,7906) = 3786974


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 7795/958, 7913/7906

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 7795/958, 7913/7906?

Answer: GCF of Numerators as per given numbers 7795/958, 7913/7906 is

GCF of Numerators i.e. for 7795,7913 is 1

LCM of denominators i.e. for 958,7906 is 3786974.

Thus, GCF of Fractions is 1/3786974.Finally, GCF of Fractions for 7795/958, 7913/7906 is 1/3786974.