Greatest Common Factor of 6881/72, 2466/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6881/72, 2466/698

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 6881/72,2466/698

Given fractions are 6881/72,2466/698

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 6881,2466

Greatest Common Factor of Numerators i.e. GCF of 6881,2466 is 1 .

LCM of Denominators means LCM of 72,698 as per the given fractions.

LCM of 72,698 is 25128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6881,2466

GCF of Fractions 6881/72,2466/698 is 1/25128

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

Greatest Common Factor of 6881,2466 By Matching Biggest Common Factor Method

Greatest Common Factor of 6881,2466 By Matching Biggest Common Factor Method

Factors of 6881

List of positive integer factors of 6881 that divides 6881 without a remainder.

1,7,983,6881

Factors of 2466

List of positive integer factors of 2466 that divides 2466 without a remainder.

1,2,3,6,9,18,137,274,411,822,1233,2466

Greatest Common Factor

We found the factors 6881,2466 . The biggest common factor number is the GCF number.
So the greatest common factor 6881,2466 is 1.

Lets's calculate LCM of 72,698

2 72, 698
36, 349

∴ So the LCM of the given numbers is 2 x 36 x 349 = 25128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25128

Therefore, the GCF of Fractions 6881/72,2466/698 is 1/25128

Least Common Multiple of 72,698 with GCF Formula

Least Common Multiple of 72,698 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 72,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,698) = 2

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

GCF(72,698) x common factors =2 x 1 = 2

LCM(72,698) = ( 72 × 698 ) / 2

LCM(72,698) = 50256 / 2

LCM(72,698) = 25128


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 6881/72, 2466/698

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 6881/72, 2466/698?

Answer: GCF of Numerators as per given numbers 6881/72, 2466/698 is

GCF of Numerators i.e. for 6881,2466 is 1

LCM of denominators i.e. for 72,698 is 25128.

Thus, GCF of Fractions is 1/25128.Finally, GCF of Fractions for 6881/72, 2466/698 is 1/25128.