Greatest Common Factor of 582/759, 1431/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 582/759, 1431/724

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 582/759,1431/724

Given fractions are 582/759,1431/724

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 582,1431

Greatest Common Factor of Numerators i.e. GCF of 582,1431 is 3 .

LCM of Denominators means LCM of 759,724 as per the given fractions.

LCM of 759,724 is 549516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 582,1431

GCF of Fractions 582/759,1431/724 is 3/549516

3 582, 1431
194, 477

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 582,1431 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,1431 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 1431

List of positive integer factors of 1431 that divides 1431 without a remainder.

1,3,9,27,53,159,477,1431

Greatest Common Factor

We found the factors 582,1431 . The biggest common factor number is the GCF number.
So the greatest common factor 582,1431 is 3.

Lets's calculate LCM of 759,724

Given numbers has no common factors except 1. So, there LCM is their product i.e 549516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/549516

Therefore, the GCF of Fractions 582/759,1431/724 is 3/549516

Least Common Multiple of 759,724 with GCF Formula

Least Common Multiple of 759,724 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 759,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,724) = 1

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

GCF(759,724) x common factors =1 x 1 = 1

LCM(759,724) = ( 759 × 724 ) / 1

LCM(759,724) = 549516 / 1

LCM(759,724) = 549516


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 582/759, 1431/724

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 582/759, 1431/724?

Answer: GCF of Numerators as per given numbers 582/759, 1431/724 is

GCF of Numerators i.e. for 582,1431 is 3

LCM of denominators i.e. for 759,724 is 549516.

Thus, GCF of Fractions is 3/549516.Finally, GCF of Fractions for 582/759, 1431/724 is 3/549516.