Greatest Common Factor of 6017/20, 3409/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6017/20, 3409/530

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 6017/20,3409/530

Given fractions are 6017/20,3409/530

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 6017,3409

Greatest Common Factor of Numerators i.e. GCF of 6017,3409 is 1 .

LCM of Denominators means LCM of 20,530 as per the given fractions.

LCM of 20,530 is 1060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6017,3409

GCF of Fractions 6017/20,3409/530 is 1/1060

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

Greatest Common Factor of 6017,3409 By Matching Biggest Common Factor Method

Greatest Common Factor of 6017,3409 By Matching Biggest Common Factor Method

Factors of 6017

List of positive integer factors of 6017 that divides 6017 without a remainder.

1,11,547,6017

Factors of 3409

List of positive integer factors of 3409 that divides 3409 without a remainder.

1,7,487,3409

Greatest Common Factor

We found the factors 6017,3409 . The biggest common factor number is the GCF number.
So the greatest common factor 6017,3409 is 1.

Lets's calculate LCM of 20,530

2 20, 530
5 10, 265
2, 53

∴ So the LCM of the given numbers is 2 x 5 x 2 x 53 = 1060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1060

Therefore, the GCF of Fractions 6017/20,3409/530 is 1/1060

Least Common Multiple of 20,530 with GCF Formula

Least Common Multiple of 20,530 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 20,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,530) = 10

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

GCF(20,530) x common factors =10 x 1 = 10

LCM(20,530) = ( 20 × 530 ) / 10

LCM(20,530) = 10600 / 10

LCM(20,530) = 1060


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 6017/20, 3409/530

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 6017/20, 3409/530?

Answer: GCF of Numerators as per given numbers 6017/20, 3409/530 is

GCF of Numerators i.e. for 6017,3409 is 1

LCM of denominators i.e. for 20,530 is 1060.

Thus, GCF of Fractions is 1/1060.Finally, GCF of Fractions for 6017/20, 3409/530 is 1/1060.