Greatest Common Factor of 1394/123, 2199/5022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1394/123, 2199/5022

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 1394/123,2199/5022

Given fractions are 1394/123,2199/5022

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 1394,2199

Greatest Common Factor of Numerators i.e. GCF of 1394,2199 is 1 .

LCM of Denominators means LCM of 123,5022 as per the given fractions.

LCM of 123,5022 is 205902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1394,2199

GCF of Fractions 1394/123,2199/5022 is 1/205902

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

Greatest Common Factor of 1394,2199 By Matching Biggest Common Factor Method

Greatest Common Factor of 1394,2199 By Matching Biggest Common Factor Method

Factors of 1394

List of positive integer factors of 1394 that divides 1394 without a remainder.

1,2,17,34,41,82,697,1394

Factors of 2199

List of positive integer factors of 2199 that divides 2199 without a remainder.

1,3,733,2199

Greatest Common Factor

We found the factors 1394,2199 . The biggest common factor number is the GCF number.
So the greatest common factor 1394,2199 is 1.

Lets's calculate LCM of 123,5022

3 123, 5022
41, 1674

∴ So the LCM of the given numbers is 3 x 41 x 1674 = 205902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205902

Therefore, the GCF of Fractions 1394/123,2199/5022 is 1/205902

Least Common Multiple of 123,5022 with GCF Formula

Least Common Multiple of 123,5022 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 123,5022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,5022) = 3

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

GCF(123,5022) x common factors =3 x 1 = 3

LCM(123,5022) = ( 123 × 5022 ) / 3

LCM(123,5022) = 617706 / 3

LCM(123,5022) = 205902


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 1394/123, 2199/5022

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 1394/123, 2199/5022?

Answer: GCF of Numerators as per given numbers 1394/123, 2199/5022 is

GCF of Numerators i.e. for 1394,2199 is 1

LCM of denominators i.e. for 123,5022 is 205902.

Thus, GCF of Fractions is 1/205902.Finally, GCF of Fractions for 1394/123, 2199/5022 is 1/205902.