Greatest Common Factor of 5539/590, 7489/3125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5539/590, 7489/3125

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 5539/590,7489/3125

Given fractions are 5539/590,7489/3125

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 5539,7489

Greatest Common Factor of Numerators i.e. GCF of 5539,7489 is 1 .

LCM of Denominators means LCM of 590,3125 as per the given fractions.

LCM of 590,3125 is 368750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5539,7489

GCF of Fractions 5539/590,7489/3125 is 1/368750

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

Greatest Common Factor of 5539,7489 By Matching Biggest Common Factor Method

Greatest Common Factor of 5539,7489 By Matching Biggest Common Factor Method

Factors of 5539

List of positive integer factors of 5539 that divides 5539 without a remainder.

1,29,191,5539

Factors of 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

1,7489

Greatest Common Factor

We found the factors 5539,7489 . The biggest common factor number is the GCF number.
So the greatest common factor 5539,7489 is 1.

Lets's calculate LCM of 590,3125

5 590, 3125
118, 625

∴ So the LCM of the given numbers is 5 x 118 x 625 = 368750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368750

Therefore, the GCF of Fractions 5539/590,7489/3125 is 1/368750

Least Common Multiple of 590,3125 with GCF Formula

Least Common Multiple of 590,3125 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 590,3125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,3125) = 5

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

GCF(590,3125) x common factors =5 x 1 = 5

LCM(590,3125) = ( 590 × 3125 ) / 5

LCM(590,3125) = 1843750 / 5

LCM(590,3125) = 368750


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 5539/590, 7489/3125

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 5539/590, 7489/3125?

Answer: GCF of Numerators as per given numbers 5539/590, 7489/3125 is

GCF of Numerators i.e. for 5539,7489 is 1

LCM of denominators i.e. for 590,3125 is 368750.

Thus, GCF of Fractions is 1/368750.Finally, GCF of Fractions for 5539/590, 7489/3125 is 1/368750.