Greatest Common Factor of 487/721, 7824/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/721, 7824/588

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 487/721,7824/588

Given fractions are 487/721,7824/588

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 487,7824

Greatest Common Factor of Numerators i.e. GCF of 487,7824 is 1 .

LCM of Denominators means LCM of 721,588 as per the given fractions.

LCM of 721,588 is 60564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,7824

GCF of Fractions 487/721,7824/588 is 1/60564

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

Greatest Common Factor of 487,7824 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,7824 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 7824

List of positive integer factors of 7824 that divides 7824 without a remainder.

1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824

Greatest Common Factor

We found the factors 487,7824 . The biggest common factor number is the GCF number.
So the greatest common factor 487,7824 is 1.

Lets's calculate LCM of 721,588

7 721, 588
103, 84

∴ So the LCM of the given numbers is 7 x 103 x 84 = 60564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60564

Therefore, the GCF of Fractions 487/721,7824/588 is 1/60564

Least Common Multiple of 721,588 with GCF Formula

Least Common Multiple of 721,588 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 721,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,588) = 7

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

GCF(721,588) x common factors =7 x 1 = 7

LCM(721,588) = ( 721 × 588 ) / 7

LCM(721,588) = 423948 / 7

LCM(721,588) = 60564


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 487/721, 7824/588

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 487/721, 7824/588?

Answer: GCF of Numerators as per given numbers 487/721, 7824/588 is

GCF of Numerators i.e. for 487,7824 is 1

LCM of denominators i.e. for 721,588 is 60564.

Thus, GCF of Fractions is 1/60564.Finally, GCF of Fractions for 487/721, 7824/588 is 1/60564.