Greatest Common Factor of 6205/139, 5729/5060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6205/139, 5729/5060

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 6205/139,5729/5060

Given fractions are 6205/139,5729/5060

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 6205,5729

Greatest Common Factor of Numerators i.e. GCF of 6205,5729 is 17 .

LCM of Denominators means LCM of 139,5060 as per the given fractions.

LCM of 139,5060 is 703340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6205,5729

GCF of Fractions 6205/139,5729/5060 is 17/703340

17 6205, 5729
365, 337

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 6205,5729 By Matching Biggest Common Factor Method

Greatest Common Factor of 6205,5729 By Matching Biggest Common Factor Method

Factors of 6205

List of positive integer factors of 6205 that divides 6205 without a remainder.

1,5,17,73,85,365,1241,6205

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1,17,337,5729

Greatest Common Factor

We found the factors 6205,5729 . The biggest common factor number is the GCF number.
So the greatest common factor 6205,5729 is 17.

Lets's calculate LCM of 139,5060

Given numbers has no common factors except 1. So, there LCM is their product i.e 703340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/703340

Therefore, the GCF of Fractions 6205/139,5729/5060 is 17/703340

Least Common Multiple of 139,5060 with GCF Formula

Least Common Multiple of 139,5060 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 139,5060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,5060) = 1

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

GCF(139,5060) x common factors =1 x 1 = 1

LCM(139,5060) = ( 139 × 5060 ) / 1

LCM(139,5060) = 703340 / 1

LCM(139,5060) = 703340


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 6205/139, 5729/5060

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 6205/139, 5729/5060?

Answer: GCF of Numerators as per given numbers 6205/139, 5729/5060 is

GCF of Numerators i.e. for 6205,5729 is 17

LCM of denominators i.e. for 139,5060 is 703340.

Thus, GCF of Fractions is 17/703340.Finally, GCF of Fractions for 6205/139, 5729/5060 is 17/703340.