Greatest Common Factor of 2795/231, 8824/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2795/231, 8824/285

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 2795/231,8824/285

Given fractions are 2795/231,8824/285

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 2795,8824

Greatest Common Factor of Numerators i.e. GCF of 2795,8824 is 1 .

LCM of Denominators means LCM of 231,285 as per the given fractions.

LCM of 231,285 is 21945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2795,8824

GCF of Fractions 2795/231,8824/285 is 1/21945

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

Greatest Common Factor of 2795,8824 By Matching Biggest Common Factor Method

Greatest Common Factor of 2795,8824 By Matching Biggest Common Factor Method

Factors of 2795

List of positive integer factors of 2795 that divides 2795 without a remainder.

1,5,13,43,65,215,559,2795

Factors of 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1,2,4,8,1103,2206,4412,8824

Greatest Common Factor

We found the factors 2795,8824 . The biggest common factor number is the GCF number.
So the greatest common factor 2795,8824 is 1.

Lets's calculate LCM of 231,285

3 231, 285
77, 95

∴ So the LCM of the given numbers is 3 x 77 x 95 = 21945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21945

Therefore, the GCF of Fractions 2795/231,8824/285 is 1/21945

Least Common Multiple of 231,285 with GCF Formula

Least Common Multiple of 231,285 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 231,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,285) = 3

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

GCF(231,285) x common factors =3 x 1 = 3

LCM(231,285) = ( 231 × 285 ) / 3

LCM(231,285) = 65835 / 3

LCM(231,285) = 21945


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 2795/231, 8824/285

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 2795/231, 8824/285?

Answer: GCF of Numerators as per given numbers 2795/231, 8824/285 is

GCF of Numerators i.e. for 2795,8824 is 1

LCM of denominators i.e. for 231,285 is 21945.

Thus, GCF of Fractions is 1/21945.Finally, GCF of Fractions for 2795/231, 8824/285 is 1/21945.