Greatest Common Factor of 5743/576, 7125/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5743/576, 7125/964

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 5743/576,7125/964

Given fractions are 5743/576,7125/964

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 5743,7125

Greatest Common Factor of Numerators i.e. GCF of 5743,7125 is 1 .

LCM of Denominators means LCM of 576,964 as per the given fractions.

LCM of 576,964 is 138816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5743,7125

GCF of Fractions 5743/576,7125/964 is 1/138816

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

Greatest Common Factor of 5743,7125 By Matching Biggest Common Factor Method

Greatest Common Factor of 5743,7125 By Matching Biggest Common Factor Method

Factors of 5743

List of positive integer factors of 5743 that divides 5743 without a remainder.

1,5743

Factors of 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Greatest Common Factor

We found the factors 5743,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 5743,7125 is 1.

Lets's calculate LCM of 576,964

2 576, 964
2 288, 482
144, 241

∴ So the LCM of the given numbers is 2 x 2 x 144 x 241 = 138816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138816

Therefore, the GCF of Fractions 5743/576,7125/964 is 1/138816

Least Common Multiple of 576,964 with GCF Formula

Least Common Multiple of 576,964 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 576,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,964) = 4

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

GCF(576,964) x common factors =4 x 1 = 4

LCM(576,964) = ( 576 × 964 ) / 4

LCM(576,964) = 555264 / 4

LCM(576,964) = 138816


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 5743/576, 7125/964

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 5743/576, 7125/964?

Answer: GCF of Numerators as per given numbers 5743/576, 7125/964 is

GCF of Numerators i.e. for 5743,7125 is 1

LCM of denominators i.e. for 576,964 is 138816.

Thus, GCF of Fractions is 1/138816.Finally, GCF of Fractions for 5743/576, 7125/964 is 1/138816.