Greatest Common Factor of 5769/384, 9611/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5769/384, 9611/743

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 5769/384,9611/743

Given fractions are 5769/384,9611/743

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 5769,9611

Greatest Common Factor of Numerators i.e. GCF of 5769,9611 is 1 .

LCM of Denominators means LCM of 384,743 as per the given fractions.

LCM of 384,743 is 285312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5769,9611

GCF of Fractions 5769/384,9611/743 is 1/285312

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

Greatest Common Factor of 5769,9611 By Matching Biggest Common Factor Method

Greatest Common Factor of 5769,9611 By Matching Biggest Common Factor Method

Factors of 5769

List of positive integer factors of 5769 that divides 5769 without a remainder.

1,3,9,641,1923,5769

Factors of 9611

List of positive integer factors of 9611 that divides 9611 without a remainder.

1,7,1373,9611

Greatest Common Factor

We found the factors 5769,9611 . The biggest common factor number is the GCF number.
So the greatest common factor 5769,9611 is 1.

Lets's calculate LCM of 384,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 285312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285312

Therefore, the GCF of Fractions 5769/384,9611/743 is 1/285312

Least Common Multiple of 384,743 with GCF Formula

Least Common Multiple of 384,743 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 384,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,743) = 1

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

GCF(384,743) x common factors =1 x 1 = 1

LCM(384,743) = ( 384 × 743 ) / 1

LCM(384,743) = 285312 / 1

LCM(384,743) = 285312


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 5769/384, 9611/743

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 5769/384, 9611/743?

Answer: GCF of Numerators as per given numbers 5769/384, 9611/743 is

GCF of Numerators i.e. for 5769,9611 is 1

LCM of denominators i.e. for 384,743 is 285312.

Thus, GCF of Fractions is 1/285312.Finally, GCF of Fractions for 5769/384, 9611/743 is 1/285312.