Greatest Common Factor of 5761/337, 2583/9855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5761/337, 2583/9855

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 5761/337,2583/9855

Given fractions are 5761/337,2583/9855

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 5761,2583

Greatest Common Factor of Numerators i.e. GCF of 5761,2583 is 7 .

LCM of Denominators means LCM of 337,9855 as per the given fractions.

LCM of 337,9855 is 3321135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5761,2583

GCF of Fractions 5761/337,2583/9855 is 7/3321135

7 5761, 2583
823, 369

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5761,2583 By Matching Biggest Common Factor Method

Greatest Common Factor of 5761,2583 By Matching Biggest Common Factor Method

Factors of 5761

List of positive integer factors of 5761 that divides 5761 without a remainder.

1,7,823,5761

Factors of 2583

List of positive integer factors of 2583 that divides 2583 without a remainder.

1,3,7,9,21,41,63,123,287,369,861,2583

Greatest Common Factor

We found the factors 5761,2583 . The biggest common factor number is the GCF number.
So the greatest common factor 5761,2583 is 7.

Lets's calculate LCM of 337,9855

Given numbers has no common factors except 1. So, there LCM is their product i.e 3321135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3321135

Therefore, the GCF of Fractions 5761/337,2583/9855 is 7/3321135

Least Common Multiple of 337,9855 with GCF Formula

Least Common Multiple of 337,9855 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 337,9855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,9855) = 1

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

GCF(337,9855) x common factors =1 x 1 = 1

LCM(337,9855) = ( 337 × 9855 ) / 1

LCM(337,9855) = 3321135 / 1

LCM(337,9855) = 3321135


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 5761/337, 2583/9855

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 5761/337, 2583/9855?

Answer: GCF of Numerators as per given numbers 5761/337, 2583/9855 is

GCF of Numerators i.e. for 5761,2583 is 7

LCM of denominators i.e. for 337,9855 is 3321135.

Thus, GCF of Fractions is 7/3321135.Finally, GCF of Fractions for 5761/337, 2583/9855 is 7/3321135.