Greatest Common Factor of 5068/82, 4507/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5068/82, 4507/860

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 5068/82,4507/860

Given fractions are 5068/82,4507/860

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 5068,4507

Greatest Common Factor of Numerators i.e. GCF of 5068,4507 is 1 .

LCM of Denominators means LCM of 82,860 as per the given fractions.

LCM of 82,860 is 35260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5068,4507

GCF of Fractions 5068/82,4507/860 is 1/35260

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

Greatest Common Factor of 5068,4507 By Matching Biggest Common Factor Method

Greatest Common Factor of 5068,4507 By Matching Biggest Common Factor Method

Factors of 5068

List of positive integer factors of 5068 that divides 5068 without a remainder.

1,2,4,7,14,28,181,362,724,1267,2534,5068

Factors of 4507

List of positive integer factors of 4507 that divides 4507 without a remainder.

1,4507

Greatest Common Factor

We found the factors 5068,4507 . The biggest common factor number is the GCF number.
So the greatest common factor 5068,4507 is 1.

Lets's calculate LCM of 82,860

2 82, 860
41, 430

∴ So the LCM of the given numbers is 2 x 41 x 430 = 35260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35260

Therefore, the GCF of Fractions 5068/82,4507/860 is 1/35260

Least Common Multiple of 82,860 with GCF Formula

Least Common Multiple of 82,860 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 82,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,860) = 2

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

GCF(82,860) x common factors =2 x 1 = 2

LCM(82,860) = ( 82 × 860 ) / 2

LCM(82,860) = 70520 / 2

LCM(82,860) = 35260


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 5068/82, 4507/860

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 5068/82, 4507/860?

Answer: GCF of Numerators as per given numbers 5068/82, 4507/860 is

GCF of Numerators i.e. for 5068,4507 is 1

LCM of denominators i.e. for 82,860 is 35260.

Thus, GCF of Fractions is 1/35260.Finally, GCF of Fractions for 5068/82, 4507/860 is 1/35260.