Greatest Common Factor of 913/477, 9761/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 913/477, 9761/219

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 913/477,9761/219

Given fractions are 913/477,9761/219

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 913,9761

Greatest Common Factor of Numerators i.e. GCF of 913,9761 is 1 .

LCM of Denominators means LCM of 477,219 as per the given fractions.

LCM of 477,219 is 34821 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 913,9761

GCF of Fractions 913/477,9761/219 is 1/34821

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

Greatest Common Factor of 913,9761 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,9761 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 9761

List of positive integer factors of 9761 that divides 9761 without a remainder.

1,43,227,9761

Greatest Common Factor

We found the factors 913,9761 . The biggest common factor number is the GCF number.
So the greatest common factor 913,9761 is 1.

Lets's calculate LCM of 477,219

3 477, 219
159, 73

∴ So the LCM of the given numbers is 3 x 159 x 73 = 34821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34821

Therefore, the GCF of Fractions 913/477,9761/219 is 1/34821

Least Common Multiple of 477,219 with GCF Formula

Least Common Multiple of 477,219 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 477,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,219) = 3

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

GCF(477,219) x common factors =3 x 1 = 3

LCM(477,219) = ( 477 × 219 ) / 3

LCM(477,219) = 104463 / 3

LCM(477,219) = 34821


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 913/477, 9761/219

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 913/477, 9761/219?

Answer: GCF of Numerators as per given numbers 913/477, 9761/219 is

GCF of Numerators i.e. for 913,9761 is 1

LCM of denominators i.e. for 477,219 is 34821.

Thus, GCF of Fractions is 1/34821.Finally, GCF of Fractions for 913/477, 9761/219 is 1/34821.