Greatest Common Factor of 6305/137, 3680/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6305/137, 3680/389

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 6305/137,3680/389

Given fractions are 6305/137,3680/389

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 6305,3680

Greatest Common Factor of Numerators i.e. GCF of 6305,3680 is 5 .

LCM of Denominators means LCM of 137,389 as per the given fractions.

LCM of 137,389 is 53293 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6305,3680

GCF of Fractions 6305/137,3680/389 is 5/53293

5 6305, 3680
1261, 736

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6305,3680 By Matching Biggest Common Factor Method

Greatest Common Factor of 6305,3680 By Matching Biggest Common Factor Method

Factors of 6305

List of positive integer factors of 6305 that divides 6305 without a remainder.

1,5,13,65,97,485,1261,6305

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680

Greatest Common Factor

We found the factors 6305,3680 . The biggest common factor number is the GCF number.
So the greatest common factor 6305,3680 is 5.

Lets's calculate LCM of 137,389

Given numbers has no common factors except 1. So, there LCM is their product i.e 53293

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/53293

Therefore, the GCF of Fractions 6305/137,3680/389 is 5/53293

Least Common Multiple of 137,389 with GCF Formula

Least Common Multiple of 137,389 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 137,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,389) = 1

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

GCF(137,389) x common factors =1 x 1 = 1

LCM(137,389) = ( 137 × 389 ) / 1

LCM(137,389) = 53293 / 1

LCM(137,389) = 53293


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 6305/137, 3680/389

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 6305/137, 3680/389?

Answer: GCF of Numerators as per given numbers 6305/137, 3680/389 is

GCF of Numerators i.e. for 6305,3680 is 5

LCM of denominators i.e. for 137,389 is 53293.

Thus, GCF of Fractions is 5/53293.Finally, GCF of Fractions for 6305/137, 3680/389 is 5/53293.