Greatest Common Factor of 3198/339, 1743/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3198/339, 1743/929

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 3198/339,1743/929

Given fractions are 3198/339,1743/929

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 3198,1743

Greatest Common Factor of Numerators i.e. GCF of 3198,1743 is 3 .

LCM of Denominators means LCM of 339,929 as per the given fractions.

LCM of 339,929 is 314931 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3198,1743

GCF of Fractions 3198/339,1743/929 is 3/314931

3 3198, 1743
1066, 581

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3198,1743 By Matching Biggest Common Factor Method

Greatest Common Factor of 3198,1743 By Matching Biggest Common Factor Method

Factors of 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198

Factors of 1743

List of positive integer factors of 1743 that divides 1743 without a remainder.

1,3,7,21,83,249,581,1743

Greatest Common Factor

We found the factors 3198,1743 . The biggest common factor number is the GCF number.
So the greatest common factor 3198,1743 is 3.

Lets's calculate LCM of 339,929

Given numbers has no common factors except 1. So, there LCM is their product i.e 314931

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/314931

Therefore, the GCF of Fractions 3198/339,1743/929 is 3/314931

Least Common Multiple of 339,929 with GCF Formula

Least Common Multiple of 339,929 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 339,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,929) = 1

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

GCF(339,929) x common factors =1 x 1 = 1

LCM(339,929) = ( 339 × 929 ) / 1

LCM(339,929) = 314931 / 1

LCM(339,929) = 314931


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 3198/339, 1743/929

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 3198/339, 1743/929?

Answer: GCF of Numerators as per given numbers 3198/339, 1743/929 is

GCF of Numerators i.e. for 3198,1743 is 3

LCM of denominators i.e. for 339,929 is 314931.

Thus, GCF of Fractions is 3/314931.Finally, GCF of Fractions for 3198/339, 1743/929 is 3/314931.