Greatest Common Factor of 1931/820, 2368/1210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1931/820, 2368/1210

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 1931/820,2368/1210

Given fractions are 1931/820,2368/1210

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 1931,2368

Greatest Common Factor of Numerators i.e. GCF of 1931,2368 is 1 .

LCM of Denominators means LCM of 820,1210 as per the given fractions.

LCM of 820,1210 is 99220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1931,2368

GCF of Fractions 1931/820,2368/1210 is 1/99220

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

Greatest Common Factor of 1931,2368 By Matching Biggest Common Factor Method

Greatest Common Factor of 1931,2368 By Matching Biggest Common Factor Method

Factors of 1931

List of positive integer factors of 1931 that divides 1931 without a remainder.

1,1931

Factors of 2368

List of positive integer factors of 2368 that divides 2368 without a remainder.

1,2,4,8,16,32,37,64,74,148,296,592,1184,2368

Greatest Common Factor

We found the factors 1931,2368 . The biggest common factor number is the GCF number.
So the greatest common factor 1931,2368 is 1.

Lets's calculate LCM of 820,1210

2 820, 1210
5 410, 605
82, 121

∴ So the LCM of the given numbers is 2 x 5 x 82 x 121 = 99220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99220

Therefore, the GCF of Fractions 1931/820,2368/1210 is 1/99220

Least Common Multiple of 820,1210 with GCF Formula

Least Common Multiple of 820,1210 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 820,1210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,1210) = 10

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

GCF(820,1210) x common factors =10 x 1 = 10

LCM(820,1210) = ( 820 × 1210 ) / 10

LCM(820,1210) = 992200 / 10

LCM(820,1210) = 99220


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 1931/820, 2368/1210

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 1931/820, 2368/1210?

Answer: GCF of Numerators as per given numbers 1931/820, 2368/1210 is

GCF of Numerators i.e. for 1931,2368 is 1

LCM of denominators i.e. for 820,1210 is 99220.

Thus, GCF of Fractions is 1/99220.Finally, GCF of Fractions for 1931/820, 2368/1210 is 1/99220.