Greatest Common Factor of 3029/335, 4893/9204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3029/335, 4893/9204

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 3029/335,4893/9204

Given fractions are 3029/335,4893/9204

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 3029,4893

Greatest Common Factor of Numerators i.e. GCF of 3029,4893 is 233 .

LCM of Denominators means LCM of 335,9204 as per the given fractions.

LCM of 335,9204 is 3083340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3029,4893

GCF of Fractions 3029/335,4893/9204 is 233/3083340

233 3029, 4893
13, 21

∴ So the GCF of the given numbers is 233 = 233

Greatest Common Factor of 3029,4893 By Matching Biggest Common Factor Method

Greatest Common Factor of 3029,4893 By Matching Biggest Common Factor Method

Factors of 3029

List of positive integer factors of 3029 that divides 3029 without a remainder.

1,13,233,3029

Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1,3,7,21,233,699,1631,4893

Greatest Common Factor

We found the factors 3029,4893 . The biggest common factor number is the GCF number.
So the greatest common factor 3029,4893 is 233.

Lets's calculate LCM of 335,9204

Given numbers has no common factors except 1. So, there LCM is their product i.e 3083340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 233/3083340

Therefore, the GCF of Fractions 3029/335,4893/9204 is 233/3083340

Least Common Multiple of 335,9204 with GCF Formula

Least Common Multiple of 335,9204 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 335,9204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,9204) = 1

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

GCF(335,9204) x common factors =1 x 1 = 1

LCM(335,9204) = ( 335 × 9204 ) / 1

LCM(335,9204) = 3083340 / 1

LCM(335,9204) = 3083340


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 3029/335, 4893/9204

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 3029/335, 4893/9204?

Answer: GCF of Numerators as per given numbers 3029/335, 4893/9204 is

GCF of Numerators i.e. for 3029,4893 is 233

LCM of denominators i.e. for 335,9204 is 3083340.

Thus, GCF of Fractions is 233/3083340.Finally, GCF of Fractions for 3029/335, 4893/9204 is 233/3083340.