Greatest Common Factor of 3413/337, 5206/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3413/337, 5206/413

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 3413/337,5206/413

Given fractions are 3413/337,5206/413

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 3413,5206

Greatest Common Factor of Numerators i.e. GCF of 3413,5206 is 1 .

LCM of Denominators means LCM of 337,413 as per the given fractions.

LCM of 337,413 is 139181 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3413,5206

GCF of Fractions 3413/337,5206/413 is 1/139181

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

Greatest Common Factor of 3413,5206 By Matching Biggest Common Factor Method

Greatest Common Factor of 3413,5206 By Matching Biggest Common Factor Method

Factors of 3413

List of positive integer factors of 3413 that divides 3413 without a remainder.

1,3413

Factors of 5206

List of positive integer factors of 5206 that divides 5206 without a remainder.

1,2,19,38,137,274,2603,5206

Greatest Common Factor

We found the factors 3413,5206 . The biggest common factor number is the GCF number.
So the greatest common factor 3413,5206 is 1.

Lets's calculate LCM of 337,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 139181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139181

Therefore, the GCF of Fractions 3413/337,5206/413 is 1/139181

Least Common Multiple of 337,413 with GCF Formula

Least Common Multiple of 337,413 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 337,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,413) = 1

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

GCF(337,413) x common factors =1 x 1 = 1

LCM(337,413) = ( 337 × 413 ) / 1

LCM(337,413) = 139181 / 1

LCM(337,413) = 139181


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 3413/337, 5206/413

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 3413/337, 5206/413?

Answer: GCF of Numerators as per given numbers 3413/337, 5206/413 is

GCF of Numerators i.e. for 3413,5206 is 1

LCM of denominators i.e. for 337,413 is 139181.

Thus, GCF of Fractions is 1/139181.Finally, GCF of Fractions for 3413/337, 5206/413 is 1/139181.