Greatest Common Factor of 6959/41, 7192/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6959/41, 7192/831

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 6959/41,7192/831

Given fractions are 6959/41,7192/831

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 6959,7192

Greatest Common Factor of Numerators i.e. GCF of 6959,7192 is 1 .

LCM of Denominators means LCM of 41,831 as per the given fractions.

LCM of 41,831 is 34071 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6959,7192

GCF of Fractions 6959/41,7192/831 is 1/34071

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

Greatest Common Factor of 6959,7192 By Matching Biggest Common Factor Method

Greatest Common Factor of 6959,7192 By Matching Biggest Common Factor Method

Factors of 6959

List of positive integer factors of 6959 that divides 6959 without a remainder.

1,6959

Factors of 7192

List of positive integer factors of 7192 that divides 7192 without a remainder.

1,2,4,8,29,31,58,62,116,124,232,248,899,1798,3596,7192

Greatest Common Factor

We found the factors 6959,7192 . The biggest common factor number is the GCF number.
So the greatest common factor 6959,7192 is 1.

Lets's calculate LCM of 41,831

Given numbers has no common factors except 1. So, there LCM is their product i.e 34071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34071

Therefore, the GCF of Fractions 6959/41,7192/831 is 1/34071

Least Common Multiple of 41,831 with GCF Formula

Least Common Multiple of 41,831 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 41,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,831) = 1

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

GCF(41,831) x common factors =1 x 1 = 1

LCM(41,831) = ( 41 × 831 ) / 1

LCM(41,831) = 34071 / 1

LCM(41,831) = 34071


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 6959/41, 7192/831

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 6959/41, 7192/831?

Answer: GCF of Numerators as per given numbers 6959/41, 7192/831 is

GCF of Numerators i.e. for 6959,7192 is 1

LCM of denominators i.e. for 41,831 is 34071.

Thus, GCF of Fractions is 1/34071.Finally, GCF of Fractions for 6959/41, 7192/831 is 1/34071.