Greatest Common Factor of 1819/514, 4203/2120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1819/514, 4203/2120

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 1819/514,4203/2120

Given fractions are 1819/514,4203/2120

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 1819,4203

Greatest Common Factor of Numerators i.e. GCF of 1819,4203 is 1 .

LCM of Denominators means LCM of 514,2120 as per the given fractions.

LCM of 514,2120 is 544840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1819,4203

GCF of Fractions 1819/514,4203/2120 is 1/544840

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

Greatest Common Factor of 1819,4203 By Matching Biggest Common Factor Method

Greatest Common Factor of 1819,4203 By Matching Biggest Common Factor Method

Factors of 1819

List of positive integer factors of 1819 that divides 1819 without a remainder.

1,17,107,1819

Factors of 4203

List of positive integer factors of 4203 that divides 4203 without a remainder.

1,3,9,467,1401,4203

Greatest Common Factor

We found the factors 1819,4203 . The biggest common factor number is the GCF number.
So the greatest common factor 1819,4203 is 1.

Lets's calculate LCM of 514,2120

2 514, 2120
257, 1060

∴ So the LCM of the given numbers is 2 x 257 x 1060 = 544840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544840

Therefore, the GCF of Fractions 1819/514,4203/2120 is 1/544840

Least Common Multiple of 514,2120 with GCF Formula

Least Common Multiple of 514,2120 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 514,2120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,2120) = 2

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

GCF(514,2120) x common factors =2 x 1 = 2

LCM(514,2120) = ( 514 × 2120 ) / 2

LCM(514,2120) = 1089680 / 2

LCM(514,2120) = 544840


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 1819/514, 4203/2120

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 1819/514, 4203/2120?

Answer: GCF of Numerators as per given numbers 1819/514, 4203/2120 is

GCF of Numerators i.e. for 1819,4203 is 1

LCM of denominators i.e. for 514,2120 is 544840.

Thus, GCF of Fractions is 1/544840.Finally, GCF of Fractions for 1819/514, 4203/2120 is 1/544840.