Greatest Common Factor of 9500/99, 6760/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9500/99, 6760/227

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 9500/99,6760/227

Given fractions are 9500/99,6760/227

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 9500,6760

Greatest Common Factor of Numerators i.e. GCF of 9500,6760 is 20 .

LCM of Denominators means LCM of 99,227 as per the given fractions.

LCM of 99,227 is 22473 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9500,6760

GCF of Fractions 9500/99,6760/227 is 20/22473

2 9500, 6760
2 4750, 3380
5 2375, 1690
475, 338

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 9500,6760 By Matching Biggest Common Factor Method

Greatest Common Factor of 9500,6760 By Matching Biggest Common Factor Method

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500

Factors of 6760

List of positive integer factors of 6760 that divides 6760 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760

Greatest Common Factor

We found the factors 9500,6760 . The biggest common factor number is the GCF number.
So the greatest common factor 9500,6760 is 20.

Lets's calculate LCM of 99,227

Given numbers has no common factors except 1. So, there LCM is their product i.e 22473

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/22473

Therefore, the GCF of Fractions 9500/99,6760/227 is 20/22473

Least Common Multiple of 99,227 with GCF Formula

Least Common Multiple of 99,227 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 99,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,227) = 1

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

GCF(99,227) x common factors =1 x 1 = 1

LCM(99,227) = ( 99 × 227 ) / 1

LCM(99,227) = 22473 / 1

LCM(99,227) = 22473


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 9500/99, 6760/227

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 9500/99, 6760/227?

Answer: GCF of Numerators as per given numbers 9500/99, 6760/227 is

GCF of Numerators i.e. for 9500,6760 is 20

LCM of denominators i.e. for 99,227 is 22473.

Thus, GCF of Fractions is 20/22473.Finally, GCF of Fractions for 9500/99, 6760/227 is 20/22473.