Greatest Common Factor of 560/15, 288/66, 981/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 560/15, 288/66, 981/221

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 560/15,288/66,981/221

Given fractions are 560/15,288/66,981/221

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 560,288,981

Greatest Common Factor of Numerators i.e. GCF of 560,288,981 is 1 .

LCM of Denominators means LCM of 15,66,221 as per the given fractions.

LCM of 15,66,221 is 72930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 560,288,981

GCF of Fractions 560/15,288/66,981/221 is 1/72930

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

Greatest Common Factor of 560,288,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,288,981 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 560,288,981 . The biggest common factor number is the GCF number.
So the greatest common factor 560,288,981 is 1.

Lets's calculate LCM of 15,66,221

3 15, 66, 221
5, 22, 221

∴ So the LCM of the given numbers is 3 x 5 x 22 x 221 = 72930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72930

Therefore, the GCF of Fractions 560/15,288/66,981/221 is 1/72930

Least Common Multiple of 15,66,221 with GCF Formula

Least Common Multiple of 15,66,221 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 15,66,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,66,221) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,66,221) x common factors =1 x 3 = 3

LCM(15,66,221) = ( 15 × 66 × 221 ) / 3

LCM(15,66,221) = 218790 / 3

LCM(15,66,221) = 72930


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 560/15, 288/66, 981/221

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 560/15, 288/66, 981/221?

Answer: GCF of Numerators as per given numbers 560/15, 288/66, 981/221 is

GCF of Numerators i.e. for 560,288,981 is 1

LCM of denominators i.e. for 15,66,221 is 72930.

Thus, GCF of Fractions is 1/72930.Finally, GCF of Fractions for 560/15, 288/66, 981/221 is 1/72930.