Greatest Common Factor of 6909/802, 7626/2201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6909/802, 7626/2201

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 6909/802,7626/2201

Given fractions are 6909/802,7626/2201

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 6909,7626

Greatest Common Factor of Numerators i.e. GCF of 6909,7626 is 3 .

LCM of Denominators means LCM of 802,2201 as per the given fractions.

LCM of 802,2201 is 1765202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6909,7626

GCF of Fractions 6909/802,7626/2201 is 3/1765202

3 6909, 7626
2303, 2542

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

Greatest Common Factor of 6909,7626 By Matching Biggest Common Factor Method

Greatest Common Factor of 6909,7626 By Matching Biggest Common Factor Method

Factors of 6909

List of positive integer factors of 6909 that divides 6909 without a remainder.

1,3,7,21,47,49,141,147,329,987,2303,6909

Factors of 7626

List of positive integer factors of 7626 that divides 7626 without a remainder.

1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626

Greatest Common Factor

We found the factors 6909,7626 . The biggest common factor number is the GCF number.
So the greatest common factor 6909,7626 is 3.

Lets's calculate LCM of 802,2201

Given numbers has no common factors except 1. So, there LCM is their product i.e 1765202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1765202

Therefore, the GCF of Fractions 6909/802,7626/2201 is 3/1765202

Least Common Multiple of 802,2201 with GCF Formula

Least Common Multiple of 802,2201 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 802,2201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,2201) = 1

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

GCF(802,2201) x common factors =1 x 1 = 1

LCM(802,2201) = ( 802 × 2201 ) / 1

LCM(802,2201) = 1765202 / 1

LCM(802,2201) = 1765202


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 6909/802, 7626/2201

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 6909/802, 7626/2201?

Answer: GCF of Numerators as per given numbers 6909/802, 7626/2201 is

GCF of Numerators i.e. for 6909,7626 is 3

LCM of denominators i.e. for 802,2201 is 1765202.

Thus, GCF of Fractions is 3/1765202.Finally, GCF of Fractions for 6909/802, 7626/2201 is 3/1765202.