Greatest Common Factor of 5021/514, 8110/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5021/514, 8110/369

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 5021/514,8110/369

Given fractions are 5021/514,8110/369

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 5021,8110

Greatest Common Factor of Numerators i.e. GCF of 5021,8110 is 1 .

LCM of Denominators means LCM of 514,369 as per the given fractions.

LCM of 514,369 is 189666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5021,8110

GCF of Fractions 5021/514,8110/369 is 1/189666

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

Greatest Common Factor of 5021,8110 By Matching Biggest Common Factor Method

Greatest Common Factor of 5021,8110 By Matching Biggest Common Factor Method

Factors of 5021

List of positive integer factors of 5021 that divides 5021 without a remainder.

1,5021

Factors of 8110

List of positive integer factors of 8110 that divides 8110 without a remainder.

1,2,5,10,811,1622,4055,8110

Greatest Common Factor

We found the factors 5021,8110 . The biggest common factor number is the GCF number.
So the greatest common factor 5021,8110 is 1.

Lets's calculate LCM of 514,369

Given numbers has no common factors except 1. So, there LCM is their product i.e 189666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189666

Therefore, the GCF of Fractions 5021/514,8110/369 is 1/189666

Least Common Multiple of 514,369 with GCF Formula

Least Common Multiple of 514,369 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 514,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,369) = 1

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

GCF(514,369) x common factors =1 x 1 = 1

LCM(514,369) = ( 514 × 369 ) / 1

LCM(514,369) = 189666 / 1

LCM(514,369) = 189666


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 5021/514, 8110/369

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 5021/514, 8110/369?

Answer: GCF of Numerators as per given numbers 5021/514, 8110/369 is

GCF of Numerators i.e. for 5021,8110 is 1

LCM of denominators i.e. for 514,369 is 189666.

Thus, GCF of Fractions is 1/189666.Finally, GCF of Fractions for 5021/514, 8110/369 is 1/189666.