Greatest Common Factor of 2679/760, 8268/6687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2679/760, 8268/6687

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 2679/760,8268/6687

Given fractions are 2679/760,8268/6687

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 2679,8268

Greatest Common Factor of Numerators i.e. GCF of 2679,8268 is 3 .

LCM of Denominators means LCM of 760,6687 as per the given fractions.

LCM of 760,6687 is 5082120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2679,8268

GCF of Fractions 2679/760,8268/6687 is 3/5082120

3 2679, 8268
893, 2756

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2679,8268 By Matching Biggest Common Factor Method

Greatest Common Factor of 2679,8268 By Matching Biggest Common Factor Method

Factors of 2679

List of positive integer factors of 2679 that divides 2679 without a remainder.

1,3,19,47,57,141,893,2679

Factors of 8268

List of positive integer factors of 8268 that divides 8268 without a remainder.

1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268

Greatest Common Factor

We found the factors 2679,8268 . The biggest common factor number is the GCF number.
So the greatest common factor 2679,8268 is 3.

Lets's calculate LCM of 760,6687

Given numbers has no common factors except 1. So, there LCM is their product i.e 5082120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5082120

Therefore, the GCF of Fractions 2679/760,8268/6687 is 3/5082120

Least Common Multiple of 760,6687 with GCF Formula

Least Common Multiple of 760,6687 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 760,6687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,6687) = 1

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

GCF(760,6687) x common factors =1 x 1 = 1

LCM(760,6687) = ( 760 × 6687 ) / 1

LCM(760,6687) = 5082120 / 1

LCM(760,6687) = 5082120


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 2679/760, 8268/6687

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 2679/760, 8268/6687?

Answer: GCF of Numerators as per given numbers 2679/760, 8268/6687 is

GCF of Numerators i.e. for 2679,8268 is 3

LCM of denominators i.e. for 760,6687 is 5082120.

Thus, GCF of Fractions is 3/5082120.Finally, GCF of Fractions for 2679/760, 8268/6687 is 3/5082120.