Greatest Common Factor of 6877/351, 7260/6677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6877/351, 7260/6677

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 6877/351,7260/6677

Given fractions are 6877/351,7260/6677

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 6877,7260

Greatest Common Factor of Numerators i.e. GCF of 6877,7260 is 1 .

LCM of Denominators means LCM of 351,6677 as per the given fractions.

LCM of 351,6677 is 2343627 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6877,7260

GCF of Fractions 6877/351,7260/6677 is 1/2343627

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

Greatest Common Factor of 6877,7260 By Matching Biggest Common Factor Method

Greatest Common Factor of 6877,7260 By Matching Biggest Common Factor Method

Factors of 6877

List of positive integer factors of 6877 that divides 6877 without a remainder.

1,13,23,299,529,6877

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260

Greatest Common Factor

We found the factors 6877,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 6877,7260 is 1.

Lets's calculate LCM of 351,6677

Given numbers has no common factors except 1. So, there LCM is their product i.e 2343627

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2343627

Therefore, the GCF of Fractions 6877/351,7260/6677 is 1/2343627

Least Common Multiple of 351,6677 with GCF Formula

Least Common Multiple of 351,6677 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 351,6677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,6677) = 1

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

GCF(351,6677) x common factors =1 x 1 = 1

LCM(351,6677) = ( 351 × 6677 ) / 1

LCM(351,6677) = 2343627 / 1

LCM(351,6677) = 2343627


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 6877/351, 7260/6677

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 6877/351, 7260/6677?

Answer: GCF of Numerators as per given numbers 6877/351, 7260/6677 is

GCF of Numerators i.e. for 6877,7260 is 1

LCM of denominators i.e. for 351,6677 is 2343627.

Thus, GCF of Fractions is 1/2343627.Finally, GCF of Fractions for 6877/351, 7260/6677 is 1/2343627.