Greatest Common Factor of 514/283, 1164/6321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 514/283, 1164/6321

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 514/283,1164/6321

Given fractions are 514/283,1164/6321

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 514,1164

Greatest Common Factor of Numerators i.e. GCF of 514,1164 is 2 .

LCM of Denominators means LCM of 283,6321 as per the given fractions.

LCM of 283,6321 is 1788843 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 514,1164

GCF of Fractions 514/283,1164/6321 is 2/1788843

2 514, 1164
257, 582

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 514,1164 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,1164 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1,2,3,4,6,12,97,194,291,388,582,1164

Greatest Common Factor

We found the factors 514,1164 . The biggest common factor number is the GCF number.
So the greatest common factor 514,1164 is 2.

Lets's calculate LCM of 283,6321

Given numbers has no common factors except 1. So, there LCM is their product i.e 1788843

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1788843

Therefore, the GCF of Fractions 514/283,1164/6321 is 2/1788843

Least Common Multiple of 283,6321 with GCF Formula

Least Common Multiple of 283,6321 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 283,6321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,6321) = 1

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

GCF(283,6321) x common factors =1 x 1 = 1

LCM(283,6321) = ( 283 × 6321 ) / 1

LCM(283,6321) = 1788843 / 1

LCM(283,6321) = 1788843


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 514/283, 1164/6321

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 514/283, 1164/6321?

Answer: GCF of Numerators as per given numbers 514/283, 1164/6321 is

GCF of Numerators i.e. for 514,1164 is 2

LCM of denominators i.e. for 283,6321 is 1788843.

Thus, GCF of Fractions is 2/1788843.Finally, GCF of Fractions for 514/283, 1164/6321 is 2/1788843.