Greatest Common Factor of 8161/295, 6796/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8161/295, 6796/484

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 8161/295,6796/484

Given fractions are 8161/295,6796/484

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 8161,6796

Greatest Common Factor of Numerators i.e. GCF of 8161,6796 is 1 .

LCM of Denominators means LCM of 295,484 as per the given fractions.

LCM of 295,484 is 142780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8161,6796

GCF of Fractions 8161/295,6796/484 is 1/142780

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

Greatest Common Factor of 8161,6796 By Matching Biggest Common Factor Method

Greatest Common Factor of 8161,6796 By Matching Biggest Common Factor Method

Factors of 8161

List of positive integer factors of 8161 that divides 8161 without a remainder.

1,8161

Factors of 6796

List of positive integer factors of 6796 that divides 6796 without a remainder.

1,2,4,1699,3398,6796

Greatest Common Factor

We found the factors 8161,6796 . The biggest common factor number is the GCF number.
So the greatest common factor 8161,6796 is 1.

Lets's calculate LCM of 295,484

Given numbers has no common factors except 1. So, there LCM is their product i.e 142780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142780

Therefore, the GCF of Fractions 8161/295,6796/484 is 1/142780

Least Common Multiple of 295,484 with GCF Formula

Least Common Multiple of 295,484 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 295,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,484) = 1

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

GCF(295,484) x common factors =1 x 1 = 1

LCM(295,484) = ( 295 × 484 ) / 1

LCM(295,484) = 142780 / 1

LCM(295,484) = 142780


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 8161/295, 6796/484

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 8161/295, 6796/484?

Answer: GCF of Numerators as per given numbers 8161/295, 6796/484 is

GCF of Numerators i.e. for 8161,6796 is 1

LCM of denominators i.e. for 295,484 is 142780.

Thus, GCF of Fractions is 1/142780.Finally, GCF of Fractions for 8161/295, 6796/484 is 1/142780.