Greatest Common Factor of 3369/410, 3402/6146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3369/410, 3402/6146

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 3369/410,3402/6146

Given fractions are 3369/410,3402/6146

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 3369,3402

Greatest Common Factor of Numerators i.e. GCF of 3369,3402 is 3 .

LCM of Denominators means LCM of 410,6146 as per the given fractions.

LCM of 410,6146 is 1259930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3369,3402

GCF of Fractions 3369/410,3402/6146 is 3/1259930

3 3369, 3402
1123, 1134

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

Greatest Common Factor of 3369,3402 By Matching Biggest Common Factor Method

Greatest Common Factor of 3369,3402 By Matching Biggest Common Factor Method

Factors of 3369

List of positive integer factors of 3369 that divides 3369 without a remainder.

1,3,1123,3369

Factors of 3402

List of positive integer factors of 3402 that divides 3402 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,243,378,486,567,1134,1701,3402

Greatest Common Factor

We found the factors 3369,3402 . The biggest common factor number is the GCF number.
So the greatest common factor 3369,3402 is 3.

Lets's calculate LCM of 410,6146

2 410, 6146
205, 3073

∴ So the LCM of the given numbers is 2 x 205 x 3073 = 1259930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1259930

Therefore, the GCF of Fractions 3369/410,3402/6146 is 3/1259930

Least Common Multiple of 410,6146 with GCF Formula

Least Common Multiple of 410,6146 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 410,6146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,6146) = 2

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

GCF(410,6146) x common factors =2 x 1 = 2

LCM(410,6146) = ( 410 × 6146 ) / 2

LCM(410,6146) = 2519860 / 2

LCM(410,6146) = 1259930


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 3369/410, 3402/6146

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 3369/410, 3402/6146?

Answer: GCF of Numerators as per given numbers 3369/410, 3402/6146 is

GCF of Numerators i.e. for 3369,3402 is 3

LCM of denominators i.e. for 410,6146 is 1259930.

Thus, GCF of Fractions is 3/1259930.Finally, GCF of Fractions for 3369/410, 3402/6146 is 3/1259930.