Greatest Common Factor of 260/34, 361/27, 687/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 260/34, 361/27, 687/437

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 260/34,361/27,687/437

Given fractions are 260/34,361/27,687/437

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 260,361,687

Greatest Common Factor of Numerators i.e. GCF of 260,361,687 is 1 .

LCM of Denominators means LCM of 34,27,437 as per the given fractions.

LCM of 34,27,437 is 401166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 260,361,687

GCF of Fractions 260/34,361/27,687/437 is 1/401166

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

Greatest Common Factor of 260,361,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,361,687 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 260,361,687 . The biggest common factor number is the GCF number.
So the greatest common factor 260,361,687 is 1.

Lets's calculate LCM of 34,27,437

Given numbers has no common factors except 1. So, there LCM is their product i.e 401166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401166

Therefore, the GCF of Fractions 260/34,361/27,687/437 is 1/401166

Least Common Multiple of 34,27,437 with GCF Formula

Least Common Multiple of 34,27,437 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 34,27,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,27,437) = 1

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

GCF(34,27,437) x common factors =1 x 1 = 1

LCM(34,27,437) = ( 34 × 27 × 437 ) / 1

LCM(34,27,437) = 401166 / 1

LCM(34,27,437) = 401166


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 260/34, 361/27, 687/437

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 260/34, 361/27, 687/437?

Answer: GCF of Numerators as per given numbers 260/34, 361/27, 687/437 is

GCF of Numerators i.e. for 260,361,687 is 1

LCM of denominators i.e. for 34,27,437 is 401166.

Thus, GCF of Fractions is 1/401166.Finally, GCF of Fractions for 260/34, 361/27, 687/437 is 1/401166.