Greatest Common Factor of 20/566, 78/2270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/566, 78/2270

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 20/566,78/2270

Given fractions are 20/566,78/2270

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 20,78

Greatest Common Factor of Numerators i.e. GCF of 20,78 is 2 .

LCM of Denominators means LCM of 566,2270 as per the given fractions.

LCM of 566,2270 is 642410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,78

GCF of Fractions 20/566,78/2270 is 2/642410

2 20, 78
10, 39

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 20,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,78 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 20,78 . The biggest common factor number is the GCF number.
So the greatest common factor 20,78 is 2.

Lets's calculate LCM of 566,2270

2 566, 2270
283, 1135

∴ So the LCM of the given numbers is 2 x 283 x 1135 = 642410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/642410

Therefore, the GCF of Fractions 20/566,78/2270 is 2/642410

Least Common Multiple of 566,2270 with GCF Formula

Least Common Multiple of 566,2270 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 566,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,2270) = 2

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

GCF(566,2270) x common factors =2 x 1 = 2

LCM(566,2270) = ( 566 × 2270 ) / 2

LCM(566,2270) = 1284820 / 2

LCM(566,2270) = 642410


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 20/566, 78/2270

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 20/566, 78/2270?

Answer: GCF of Numerators as per given numbers 20/566, 78/2270 is

GCF of Numerators i.e. for 20,78 is 2

LCM of denominators i.e. for 566,2270 is 642410.

Thus, GCF of Fractions is 2/642410.Finally, GCF of Fractions for 20/566, 78/2270 is 2/642410.