Greatest Common Factor of 6762/306, 7678/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6762/306, 7678/867

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 6762/306,7678/867

Given fractions are 6762/306,7678/867

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 6762,7678

Greatest Common Factor of Numerators i.e. GCF of 6762,7678 is 2 .

LCM of Denominators means LCM of 306,867 as per the given fractions.

LCM of 306,867 is 5202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6762,7678

GCF of Fractions 6762/306,7678/867 is 2/5202

2 6762, 7678
3381, 3839

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6762,7678 By Matching Biggest Common Factor Method

Greatest Common Factor of 6762,7678 By Matching Biggest Common Factor Method

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1,2,11,22,349,698,3839,7678

Greatest Common Factor

We found the factors 6762,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 6762,7678 is 2.

Lets's calculate LCM of 306,867

3 306, 867
17 102, 289
6, 17

∴ So the LCM of the given numbers is 3 x 17 x 6 x 17 = 5202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5202

Therefore, the GCF of Fractions 6762/306,7678/867 is 2/5202

Least Common Multiple of 306,867 with GCF Formula

Least Common Multiple of 306,867 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 306,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,867) = 51

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

GCF(306,867) x common factors =51 x 1 = 51

LCM(306,867) = ( 306 × 867 ) / 51

LCM(306,867) = 265302 / 51

LCM(306,867) = 5202


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 6762/306, 7678/867

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 6762/306, 7678/867?

Answer: GCF of Numerators as per given numbers 6762/306, 7678/867 is

GCF of Numerators i.e. for 6762,7678 is 2

LCM of denominators i.e. for 306,867 is 5202.

Thus, GCF of Fractions is 2/5202.Finally, GCF of Fractions for 6762/306, 7678/867 is 2/5202.