Greatest Common Factor of 583/588, 5269/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 583/588, 5269/815

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 583/588,5269/815

Given fractions are 583/588,5269/815

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 583,5269

Greatest Common Factor of Numerators i.e. GCF of 583,5269 is 11 .

LCM of Denominators means LCM of 588,815 as per the given fractions.

LCM of 588,815 is 479220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 583,5269

GCF of Fractions 583/588,5269/815 is 11/479220

11 583, 5269
53, 479

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 583,5269 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,5269 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 5269

List of positive integer factors of 5269 that divides 5269 without a remainder.

1,11,479,5269

Greatest Common Factor

We found the factors 583,5269 . The biggest common factor number is the GCF number.
So the greatest common factor 583,5269 is 11.

Lets's calculate LCM of 588,815

Given numbers has no common factors except 1. So, there LCM is their product i.e 479220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/479220

Therefore, the GCF of Fractions 583/588,5269/815 is 11/479220

Least Common Multiple of 588,815 with GCF Formula

Least Common Multiple of 588,815 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 588,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,815) = 1

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

GCF(588,815) x common factors =1 x 1 = 1

LCM(588,815) = ( 588 × 815 ) / 1

LCM(588,815) = 479220 / 1

LCM(588,815) = 479220


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 583/588, 5269/815

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 583/588, 5269/815?

Answer: GCF of Numerators as per given numbers 583/588, 5269/815 is

GCF of Numerators i.e. for 583,5269 is 11

LCM of denominators i.e. for 588,815 is 479220.

Thus, GCF of Fractions is 11/479220.Finally, GCF of Fractions for 583/588, 5269/815 is 11/479220.