Greatest Common Factor of 582/25, 5139/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 582/25, 5139/434

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 582/25,5139/434

Given fractions are 582/25,5139/434

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 582,5139

Greatest Common Factor of Numerators i.e. GCF of 582,5139 is 3 .

LCM of Denominators means LCM of 25,434 as per the given fractions.

LCM of 25,434 is 10850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 582,5139

GCF of Fractions 582/25,5139/434 is 3/10850

3 582, 5139
194, 1713

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

Greatest Common Factor of 582,5139 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,5139 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 5139

List of positive integer factors of 5139 that divides 5139 without a remainder.

1,3,9,571,1713,5139

Greatest Common Factor

We found the factors 582,5139 . The biggest common factor number is the GCF number.
So the greatest common factor 582,5139 is 3.

Lets's calculate LCM of 25,434

Given numbers has no common factors except 1. So, there LCM is their product i.e 10850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10850

Therefore, the GCF of Fractions 582/25,5139/434 is 3/10850

Least Common Multiple of 25,434 with GCF Formula

Least Common Multiple of 25,434 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 25,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,434) = 1

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

GCF(25,434) x common factors =1 x 1 = 1

LCM(25,434) = ( 25 × 434 ) / 1

LCM(25,434) = 10850 / 1

LCM(25,434) = 10850


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 582/25, 5139/434

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 582/25, 5139/434?

Answer: GCF of Numerators as per given numbers 582/25, 5139/434 is

GCF of Numerators i.e. for 582,5139 is 3

LCM of denominators i.e. for 25,434 is 10850.

Thus, GCF of Fractions is 3/10850.Finally, GCF of Fractions for 582/25, 5139/434 is 3/10850.