Greatest Common Factor of 680/15, 290/82, 561/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/15, 290/82, 561/52

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 680/15,290/82,561/52

Given fractions are 680/15,290/82,561/52

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 680,290,561

Greatest Common Factor of Numerators i.e. GCF of 680,290,561 is 1 .

LCM of Denominators means LCM of 15,82,52 as per the given fractions.

LCM of 15,82,52 is 31980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,290,561

GCF of Fractions 680/15,290/82,561/52 is 1/31980

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

Greatest Common Factor of 680,290,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,290,561 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 680,290,561 . The biggest common factor number is the GCF number.
So the greatest common factor 680,290,561 is 1.

Lets's calculate LCM of 15,82,52

2 15, 82, 52
15, 41, 26

∴ So the LCM of the given numbers is 2 x 15 x 41 x 26 = 31980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31980

Therefore, the GCF of Fractions 680/15,290/82,561/52 is 1/31980

Least Common Multiple of 15,82,52 with GCF Formula

Least Common Multiple of 15,82,52 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 15,82,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,82,52) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(15,82,52) x common factors =1 x 2 = 2

LCM(15,82,52) = ( 15 × 82 × 52 ) / 2

LCM(15,82,52) = 63960 / 2

LCM(15,82,52) = 31980


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 680/15, 290/82, 561/52

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 680/15, 290/82, 561/52?

Answer: GCF of Numerators as per given numbers 680/15, 290/82, 561/52 is

GCF of Numerators i.e. for 680,290,561 is 1

LCM of denominators i.e. for 15,82,52 is 31980.

Thus, GCF of Fractions is 1/31980.Finally, GCF of Fractions for 680/15, 290/82, 561/52 is 1/31980.