Greatest Common Factor of 5721/263, 9569/3738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5721/263, 9569/3738

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 5721/263,9569/3738

Given fractions are 5721/263,9569/3738

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 5721,9569

Greatest Common Factor of Numerators i.e. GCF of 5721,9569 is 1 .

LCM of Denominators means LCM of 263,3738 as per the given fractions.

LCM of 263,3738 is 983094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5721,9569

GCF of Fractions 5721/263,9569/3738 is 1/983094

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

Greatest Common Factor of 5721,9569 By Matching Biggest Common Factor Method

Greatest Common Factor of 5721,9569 By Matching Biggest Common Factor Method

Factors of 5721

List of positive integer factors of 5721 that divides 5721 without a remainder.

1,3,1907,5721

Factors of 9569

List of positive integer factors of 9569 that divides 9569 without a remainder.

1,7,1367,9569

Greatest Common Factor

We found the factors 5721,9569 . The biggest common factor number is the GCF number.
So the greatest common factor 5721,9569 is 1.

Lets's calculate LCM of 263,3738

Given numbers has no common factors except 1. So, there LCM is their product i.e 983094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/983094

Therefore, the GCF of Fractions 5721/263,9569/3738 is 1/983094

Least Common Multiple of 263,3738 with GCF Formula

Least Common Multiple of 263,3738 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 263,3738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,3738) = 1

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

GCF(263,3738) x common factors =1 x 1 = 1

LCM(263,3738) = ( 263 × 3738 ) / 1

LCM(263,3738) = 983094 / 1

LCM(263,3738) = 983094


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 5721/263, 9569/3738

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 5721/263, 9569/3738?

Answer: GCF of Numerators as per given numbers 5721/263, 9569/3738 is

GCF of Numerators i.e. for 5721,9569 is 1

LCM of denominators i.e. for 263,3738 is 983094.

Thus, GCF of Fractions is 1/983094.Finally, GCF of Fractions for 5721/263, 9569/3738 is 1/983094.