Greatest Common Factor of 6787/209, 5154/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6787/209, 5154/996

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 6787/209,5154/996

Given fractions are 6787/209,5154/996

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 6787,5154

Greatest Common Factor of Numerators i.e. GCF of 6787,5154 is 1 .

LCM of Denominators means LCM of 209,996 as per the given fractions.

LCM of 209,996 is 208164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6787,5154

GCF of Fractions 6787/209,5154/996 is 1/208164

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

Greatest Common Factor of 6787,5154 By Matching Biggest Common Factor Method

Greatest Common Factor of 6787,5154 By Matching Biggest Common Factor Method

Factors of 6787

List of positive integer factors of 6787 that divides 6787 without a remainder.

1,11,617,6787

Factors of 5154

List of positive integer factors of 5154 that divides 5154 without a remainder.

1,2,3,6,859,1718,2577,5154

Greatest Common Factor

We found the factors 6787,5154 . The biggest common factor number is the GCF number.
So the greatest common factor 6787,5154 is 1.

Lets's calculate LCM of 209,996

Given numbers has no common factors except 1. So, there LCM is their product i.e 208164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208164

Therefore, the GCF of Fractions 6787/209,5154/996 is 1/208164

Least Common Multiple of 209,996 with GCF Formula

Least Common Multiple of 209,996 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 209,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,996) = 1

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

GCF(209,996) x common factors =1 x 1 = 1

LCM(209,996) = ( 209 × 996 ) / 1

LCM(209,996) = 208164 / 1

LCM(209,996) = 208164


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 6787/209, 5154/996

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 6787/209, 5154/996?

Answer: GCF of Numerators as per given numbers 6787/209, 5154/996 is

GCF of Numerators i.e. for 6787,5154 is 1

LCM of denominators i.e. for 209,996 is 208164.

Thus, GCF of Fractions is 1/208164.Finally, GCF of Fractions for 6787/209, 5154/996 is 1/208164.