Greatest Common Factor of 6762/800, 9172/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6762/800, 9172/809

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 6762/800,9172/809

Given fractions are 6762/800,9172/809

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 6762,9172

Greatest Common Factor of Numerators i.e. GCF of 6762,9172 is 2 .

LCM of Denominators means LCM of 800,809 as per the given fractions.

LCM of 800,809 is 647200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6762,9172

GCF of Fractions 6762/800,9172/809 is 2/647200

2 6762, 9172
3381, 4586

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

Greatest Common Factor of 6762,9172 By Matching Biggest Common Factor Method

Greatest Common Factor of 6762,9172 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 9172

List of positive integer factors of 9172 that divides 9172 without a remainder.

1,2,4,2293,4586,9172

Greatest Common Factor

We found the factors 6762,9172 . The biggest common factor number is the GCF number.
So the greatest common factor 6762,9172 is 2.

Lets's calculate LCM of 800,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 647200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/647200

Therefore, the GCF of Fractions 6762/800,9172/809 is 2/647200

Least Common Multiple of 800,809 with GCF Formula

Least Common Multiple of 800,809 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 800,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,809) = 1

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

GCF(800,809) x common factors =1 x 1 = 1

LCM(800,809) = ( 800 × 809 ) / 1

LCM(800,809) = 647200 / 1

LCM(800,809) = 647200


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 6762/800, 9172/809

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 6762/800, 9172/809?

Answer: GCF of Numerators as per given numbers 6762/800, 9172/809 is

GCF of Numerators i.e. for 6762,9172 is 2

LCM of denominators i.e. for 800,809 is 647200.

Thus, GCF of Fractions is 2/647200.Finally, GCF of Fractions for 6762/800, 9172/809 is 2/647200.