Greatest Common Factor of 6836/25, 2951/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6836/25, 2951/511

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 6836/25,2951/511

Given fractions are 6836/25,2951/511

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 6836,2951

Greatest Common Factor of Numerators i.e. GCF of 6836,2951 is 1 .

LCM of Denominators means LCM of 25,511 as per the given fractions.

LCM of 25,511 is 12775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6836,2951

GCF of Fractions 6836/25,2951/511 is 1/12775

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

Greatest Common Factor of 6836,2951 By Matching Biggest Common Factor Method

Greatest Common Factor of 6836,2951 By Matching Biggest Common Factor Method

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1,2,4,1709,3418,6836

Factors of 2951

List of positive integer factors of 2951 that divides 2951 without a remainder.

1,13,227,2951

Greatest Common Factor

We found the factors 6836,2951 . The biggest common factor number is the GCF number.
So the greatest common factor 6836,2951 is 1.

Lets's calculate LCM of 25,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 12775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12775

Therefore, the GCF of Fractions 6836/25,2951/511 is 1/12775

Least Common Multiple of 25,511 with GCF Formula

Least Common Multiple of 25,511 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 25,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,511) = 1

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

GCF(25,511) x common factors =1 x 1 = 1

LCM(25,511) = ( 25 × 511 ) / 1

LCM(25,511) = 12775 / 1

LCM(25,511) = 12775


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 6836/25, 2951/511

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 6836/25, 2951/511?

Answer: GCF of Numerators as per given numbers 6836/25, 2951/511 is

GCF of Numerators i.e. for 6836,2951 is 1

LCM of denominators i.e. for 25,511 is 12775.

Thus, GCF of Fractions is 1/12775.Finally, GCF of Fractions for 6836/25, 2951/511 is 1/12775.