Greatest Common Factor of 6023/260, 2704/6535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6023/260, 2704/6535

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 6023/260,2704/6535

Given fractions are 6023/260,2704/6535

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 6023,2704

Greatest Common Factor of Numerators i.e. GCF of 6023,2704 is 1 .

LCM of Denominators means LCM of 260,6535 as per the given fractions.

LCM of 260,6535 is 339820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6023,2704

GCF of Fractions 6023/260,2704/6535 is 1/339820

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

Greatest Common Factor of 6023,2704 By Matching Biggest Common Factor Method

Greatest Common Factor of 6023,2704 By Matching Biggest Common Factor Method

Factors of 6023

List of positive integer factors of 6023 that divides 6023 without a remainder.

1,19,317,6023

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

Greatest Common Factor

We found the factors 6023,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 6023,2704 is 1.

Lets's calculate LCM of 260,6535

5 260, 6535
52, 1307

∴ So the LCM of the given numbers is 5 x 52 x 1307 = 339820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339820

Therefore, the GCF of Fractions 6023/260,2704/6535 is 1/339820

Least Common Multiple of 260,6535 with GCF Formula

Least Common Multiple of 260,6535 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 260,6535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,6535) = 5

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

GCF(260,6535) x common factors =5 x 1 = 5

LCM(260,6535) = ( 260 × 6535 ) / 5

LCM(260,6535) = 1699100 / 5

LCM(260,6535) = 339820


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 6023/260, 2704/6535

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 6023/260, 2704/6535?

Answer: GCF of Numerators as per given numbers 6023/260, 2704/6535 is

GCF of Numerators i.e. for 6023,2704 is 1

LCM of denominators i.e. for 260,6535 is 339820.

Thus, GCF of Fractions is 1/339820.Finally, GCF of Fractions for 6023/260, 2704/6535 is 1/339820.