Greatest Common Factor of 2834/86, 2901/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2834/86, 2901/908

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 2834/86,2901/908

Given fractions are 2834/86,2901/908

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 2834,2901

Greatest Common Factor of Numerators i.e. GCF of 2834,2901 is 1 .

LCM of Denominators means LCM of 86,908 as per the given fractions.

LCM of 86,908 is 39044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2834,2901

GCF of Fractions 2834/86,2901/908 is 1/39044

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

Greatest Common Factor of 2834,2901 By Matching Biggest Common Factor Method

Greatest Common Factor of 2834,2901 By Matching Biggest Common Factor Method

Factors of 2834

List of positive integer factors of 2834 that divides 2834 without a remainder.

1,2,13,26,109,218,1417,2834

Factors of 2901

List of positive integer factors of 2901 that divides 2901 without a remainder.

1,3,967,2901

Greatest Common Factor

We found the factors 2834,2901 . The biggest common factor number is the GCF number.
So the greatest common factor 2834,2901 is 1.

Lets's calculate LCM of 86,908

2 86, 908
43, 454

∴ So the LCM of the given numbers is 2 x 43 x 454 = 39044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39044

Therefore, the GCF of Fractions 2834/86,2901/908 is 1/39044

Least Common Multiple of 86,908 with GCF Formula

Least Common Multiple of 86,908 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 86,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,908) = 2

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

GCF(86,908) x common factors =2 x 1 = 2

LCM(86,908) = ( 86 × 908 ) / 2

LCM(86,908) = 78088 / 2

LCM(86,908) = 39044


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 2834/86, 2901/908

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 2834/86, 2901/908?

Answer: GCF of Numerators as per given numbers 2834/86, 2901/908 is

GCF of Numerators i.e. for 2834,2901 is 1

LCM of denominators i.e. for 86,908 is 39044.

Thus, GCF of Fractions is 1/39044.Finally, GCF of Fractions for 2834/86, 2901/908 is 1/39044.