Greatest Common Factor of 2120/812, 3193/5202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2120/812, 3193/5202

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 2120/812,3193/5202

Given fractions are 2120/812,3193/5202

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 2120,3193

Greatest Common Factor of Numerators i.e. GCF of 2120,3193 is 1 .

LCM of Denominators means LCM of 812,5202 as per the given fractions.

LCM of 812,5202 is 2112012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2120,3193

GCF of Fractions 2120/812,3193/5202 is 1/2112012

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

Greatest Common Factor of 2120,3193 By Matching Biggest Common Factor Method

Greatest Common Factor of 2120,3193 By Matching Biggest Common Factor Method

Factors of 2120

List of positive integer factors of 2120 that divides 2120 without a remainder.

1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120

Factors of 3193

List of positive integer factors of 3193 that divides 3193 without a remainder.

1,31,103,3193

Greatest Common Factor

We found the factors 2120,3193 . The biggest common factor number is the GCF number.
So the greatest common factor 2120,3193 is 1.

Lets's calculate LCM of 812,5202

2 812, 5202
406, 2601

∴ So the LCM of the given numbers is 2 x 406 x 2601 = 2112012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2112012

Therefore, the GCF of Fractions 2120/812,3193/5202 is 1/2112012

Least Common Multiple of 812,5202 with GCF Formula

Least Common Multiple of 812,5202 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 812,5202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,5202) = 2

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

GCF(812,5202) x common factors =2 x 1 = 2

LCM(812,5202) = ( 812 × 5202 ) / 2

LCM(812,5202) = 4224024 / 2

LCM(812,5202) = 2112012


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 2120/812, 3193/5202

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 2120/812, 3193/5202?

Answer: GCF of Numerators as per given numbers 2120/812, 3193/5202 is

GCF of Numerators i.e. for 2120,3193 is 1

LCM of denominators i.e. for 812,5202 is 2112012.

Thus, GCF of Fractions is 1/2112012.Finally, GCF of Fractions for 2120/812, 3193/5202 is 1/2112012.