Greatest Common Factor of 7909/773, 7260/2270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7909/773, 7260/2270

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 7909/773,7260/2270

Given fractions are 7909/773,7260/2270

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 7909,7260

Greatest Common Factor of Numerators i.e. GCF of 7909,7260 is 11 .

LCM of Denominators means LCM of 773,2270 as per the given fractions.

LCM of 773,2270 is 1754710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7909,7260

GCF of Fractions 7909/773,7260/2270 is 11/1754710

11 7909, 7260
719, 660

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7909,7260 By Matching Biggest Common Factor Method

Greatest Common Factor of 7909,7260 By Matching Biggest Common Factor Method

Factors of 7909

List of positive integer factors of 7909 that divides 7909 without a remainder.

1,11,719,7909

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260

Greatest Common Factor

We found the factors 7909,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 7909,7260 is 11.

Lets's calculate LCM of 773,2270

Given numbers has no common factors except 1. So, there LCM is their product i.e 1754710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1754710

Therefore, the GCF of Fractions 7909/773,7260/2270 is 11/1754710

Least Common Multiple of 773,2270 with GCF Formula

Least Common Multiple of 773,2270 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 773,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,2270) = 1

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

GCF(773,2270) x common factors =1 x 1 = 1

LCM(773,2270) = ( 773 × 2270 ) / 1

LCM(773,2270) = 1754710 / 1

LCM(773,2270) = 1754710


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 7909/773, 7260/2270

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 7909/773, 7260/2270?

Answer: GCF of Numerators as per given numbers 7909/773, 7260/2270 is

GCF of Numerators i.e. for 7909,7260 is 11

LCM of denominators i.e. for 773,2270 is 1754710.

Thus, GCF of Fractions is 11/1754710.Finally, GCF of Fractions for 7909/773, 7260/2270 is 11/1754710.