Greatest Common Factor of 4034/336, 3345/3404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4034/336, 3345/3404

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 4034/336,3345/3404

Given fractions are 4034/336,3345/3404

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 4034,3345

Greatest Common Factor of Numerators i.e. GCF of 4034,3345 is 1 .

LCM of Denominators means LCM of 336,3404 as per the given fractions.

LCM of 336,3404 is 285936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4034,3345

GCF of Fractions 4034/336,3345/3404 is 1/285936

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

Greatest Common Factor of 4034,3345 By Matching Biggest Common Factor Method

Greatest Common Factor of 4034,3345 By Matching Biggest Common Factor Method

Factors of 4034

List of positive integer factors of 4034 that divides 4034 without a remainder.

1,2,2017,4034

Factors of 3345

List of positive integer factors of 3345 that divides 3345 without a remainder.

1,3,5,15,223,669,1115,3345

Greatest Common Factor

We found the factors 4034,3345 . The biggest common factor number is the GCF number.
So the greatest common factor 4034,3345 is 1.

Lets's calculate LCM of 336,3404

2 336, 3404
2 168, 1702
84, 851

∴ So the LCM of the given numbers is 2 x 2 x 84 x 851 = 285936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285936

Therefore, the GCF of Fractions 4034/336,3345/3404 is 1/285936

Least Common Multiple of 336,3404 with GCF Formula

Least Common Multiple of 336,3404 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 336,3404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,3404) = 4

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

GCF(336,3404) x common factors =4 x 1 = 4

LCM(336,3404) = ( 336 × 3404 ) / 4

LCM(336,3404) = 1143744 / 4

LCM(336,3404) = 285936


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 4034/336, 3345/3404

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 4034/336, 3345/3404?

Answer: GCF of Numerators as per given numbers 4034/336, 3345/3404 is

GCF of Numerators i.e. for 4034,3345 is 1

LCM of denominators i.e. for 336,3404 is 285936.

Thus, GCF of Fractions is 1/285936.Finally, GCF of Fractions for 4034/336, 3345/3404 is 1/285936.