Greatest Common Factor of 520/687, 3585/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/687, 3585/341

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 520/687,3585/341

Given fractions are 520/687,3585/341

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 520,3585

Greatest Common Factor of Numerators i.e. GCF of 520,3585 is 5 .

LCM of Denominators means LCM of 687,341 as per the given fractions.

LCM of 687,341 is 234267 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,3585

GCF of Fractions 520/687,3585/341 is 5/234267

5 520, 3585
104, 717

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

Greatest Common Factor of 520,3585 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,3585 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 3585

List of positive integer factors of 3585 that divides 3585 without a remainder.

1,3,5,15,239,717,1195,3585

Greatest Common Factor

We found the factors 520,3585 . The biggest common factor number is the GCF number.
So the greatest common factor 520,3585 is 5.

Lets's calculate LCM of 687,341

Given numbers has no common factors except 1. So, there LCM is their product i.e 234267

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/234267

Therefore, the GCF of Fractions 520/687,3585/341 is 5/234267

Least Common Multiple of 687,341 with GCF Formula

Least Common Multiple of 687,341 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 687,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,341) = 1

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

GCF(687,341) x common factors =1 x 1 = 1

LCM(687,341) = ( 687 × 341 ) / 1

LCM(687,341) = 234267 / 1

LCM(687,341) = 234267


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 520/687, 3585/341

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 520/687, 3585/341?

Answer: GCF of Numerators as per given numbers 520/687, 3585/341 is

GCF of Numerators i.e. for 520,3585 is 5

LCM of denominators i.e. for 687,341 is 234267.

Thus, GCF of Fractions is 5/234267.Finally, GCF of Fractions for 520/687, 3585/341 is 5/234267.