Greatest Common Factor of 6763/209, 6976/1991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6763/209, 6976/1991

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 6763/209,6976/1991

Given fractions are 6763/209,6976/1991

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 6763,6976

Greatest Common Factor of Numerators i.e. GCF of 6763,6976 is 1 .

LCM of Denominators means LCM of 209,1991 as per the given fractions.

LCM of 209,1991 is 37829 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6763,6976

GCF of Fractions 6763/209,6976/1991 is 1/37829

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

Greatest Common Factor of 6763,6976 By Matching Biggest Common Factor Method

Greatest Common Factor of 6763,6976 By Matching Biggest Common Factor Method

Factors of 6763

List of positive integer factors of 6763 that divides 6763 without a remainder.

1,6763

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976

Greatest Common Factor

We found the factors 6763,6976 . The biggest common factor number is the GCF number.
So the greatest common factor 6763,6976 is 1.

Lets's calculate LCM of 209,1991

11 209, 1991
19, 181

∴ So the LCM of the given numbers is 11 x 19 x 181 = 37829

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37829

Therefore, the GCF of Fractions 6763/209,6976/1991 is 1/37829

Least Common Multiple of 209,1991 with GCF Formula

Least Common Multiple of 209,1991 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 209,1991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,1991) = 11

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

GCF(209,1991) x common factors =11 x 1 = 11

LCM(209,1991) = ( 209 × 1991 ) / 11

LCM(209,1991) = 416119 / 11

LCM(209,1991) = 37829


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 6763/209, 6976/1991

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 6763/209, 6976/1991?

Answer: GCF of Numerators as per given numbers 6763/209, 6976/1991 is

GCF of Numerators i.e. for 6763,6976 is 1

LCM of denominators i.e. for 209,1991 is 37829.

Thus, GCF of Fractions is 1/37829.Finally, GCF of Fractions for 6763/209, 6976/1991 is 1/37829.