Greatest Common Factor of 569/80, 866/69, 215/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 569/80, 866/69, 215/12

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 569/80,866/69,215/12

Given fractions are 569/80,866/69,215/12

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 569,866,215

Greatest Common Factor of Numerators i.e. GCF of 569,866,215 is 1 .

LCM of Denominators means LCM of 80,69,12 as per the given fractions.

LCM of 80,69,12 is 5520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 569,866,215

GCF of Fractions 569/80,866/69,215/12 is 1/5520

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

Greatest Common Factor of 569,866,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,866,215 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 569,866,215 . The biggest common factor number is the GCF number.
So the greatest common factor 569,866,215 is 1.

Lets's calculate LCM of 80,69,12

2 80, 69, 12
2 40, 69, 6
3 20, 69, 3
20, 23, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 23 x 1 = 5520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5520

Therefore, the GCF of Fractions 569/80,866/69,215/12 is 1/5520

Least Common Multiple of 80,69,12 with GCF Formula

Least Common Multiple of 80,69,12 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 80,69,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,69,12) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(80,69,12) x common factors =1 x 12 = 12

LCM(80,69,12) = ( 80 × 69 × 12 ) / 12

LCM(80,69,12) = 66240 / 12

LCM(80,69,12) = 5520


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 569/80, 866/69, 215/12

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 569/80, 866/69, 215/12?

Answer: GCF of Numerators as per given numbers 569/80, 866/69, 215/12 is

GCF of Numerators i.e. for 569,866,215 is 1

LCM of denominators i.e. for 80,69,12 is 5520.

Thus, GCF of Fractions is 1/5520.Finally, GCF of Fractions for 569/80, 866/69, 215/12 is 1/5520.