Greatest Common Factor of 516/38, 443/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/38, 443/139

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 516/38,443/139

Given fractions are 516/38,443/139

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 516,443

Greatest Common Factor of Numerators i.e. GCF of 516,443 is 1 .

LCM of Denominators means LCM of 38,139 as per the given fractions.

LCM of 38,139 is 5282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,443

GCF of Fractions 516/38,443/139 is 1/5282

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

Greatest Common Factor of 516,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,443 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 516,443 . The biggest common factor number is the GCF number.
So the greatest common factor 516,443 is 1.

Lets's calculate LCM of 38,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 5282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5282

Therefore, the GCF of Fractions 516/38,443/139 is 1/5282

Least Common Multiple of 38,139 with GCF Formula

Least Common Multiple of 38,139 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 38,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,139) = 1

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

GCF(38,139) x common factors =1 x 1 = 1

LCM(38,139) = ( 38 × 139 ) / 1

LCM(38,139) = 5282 / 1

LCM(38,139) = 5282


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 516/38, 443/139

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 516/38, 443/139?

Answer: GCF of Numerators as per given numbers 516/38, 443/139 is

GCF of Numerators i.e. for 516,443 is 1

LCM of denominators i.e. for 38,139 is 5282.

Thus, GCF of Fractions is 1/5282.Finally, GCF of Fractions for 516/38, 443/139 is 1/5282.