Greatest Common Factor of 563/54, 526/43, 355/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 563/54, 526/43, 355/20

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 563/54,526/43,355/20

Given fractions are 563/54,526/43,355/20

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 563,526,355

Greatest Common Factor of Numerators i.e. GCF of 563,526,355 is 1 .

LCM of Denominators means LCM of 54,43,20 as per the given fractions.

LCM of 54,43,20 is 23220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 563,526,355

GCF of Fractions 563/54,526/43,355/20 is 1/23220

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

Greatest Common Factor of 563,526,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,526,355 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 563,526,355 . The biggest common factor number is the GCF number.
So the greatest common factor 563,526,355 is 1.

Lets's calculate LCM of 54,43,20

2 54, 43, 20
27, 43, 10

∴ So the LCM of the given numbers is 2 x 27 x 43 x 10 = 23220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23220

Therefore, the GCF of Fractions 563/54,526/43,355/20 is 1/23220

Least Common Multiple of 54,43,20 with GCF Formula

Least Common Multiple of 54,43,20 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 54,43,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,43,20) = 1

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

GCF(54,43,20) x common factors =1 x 2 = 2

LCM(54,43,20) = ( 54 × 43 × 20 ) / 2

LCM(54,43,20) = 46440 / 2

LCM(54,43,20) = 23220


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 563/54, 526/43, 355/20

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 563/54, 526/43, 355/20?

Answer: GCF of Numerators as per given numbers 563/54, 526/43, 355/20 is

GCF of Numerators i.e. for 563,526,355 is 1

LCM of denominators i.e. for 54,43,20 is 23220.

Thus, GCF of Fractions is 1/23220.Finally, GCF of Fractions for 563/54, 526/43, 355/20 is 1/23220.