Greatest Common Factor of 532/57, 2717/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/57, 2717/563

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 532/57,2717/563

Given fractions are 532/57,2717/563

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 532,2717

Greatest Common Factor of Numerators i.e. GCF of 532,2717 is 19 .

LCM of Denominators means LCM of 57,563 as per the given fractions.

LCM of 57,563 is 32091 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,2717

GCF of Fractions 532/57,2717/563 is 19/32091

19 532, 2717
28, 143

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 532,2717 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,2717 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 2717

List of positive integer factors of 2717 that divides 2717 without a remainder.

1,11,13,19,143,209,247,2717

Greatest Common Factor

We found the factors 532,2717 . The biggest common factor number is the GCF number.
So the greatest common factor 532,2717 is 19.

Lets's calculate LCM of 57,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 32091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/32091

Therefore, the GCF of Fractions 532/57,2717/563 is 19/32091

Least Common Multiple of 57,563 with GCF Formula

Least Common Multiple of 57,563 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 57,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,563) = 1

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

GCF(57,563) x common factors =1 x 1 = 1

LCM(57,563) = ( 57 × 563 ) / 1

LCM(57,563) = 32091 / 1

LCM(57,563) = 32091


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 532/57, 2717/563

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 532/57, 2717/563?

Answer: GCF of Numerators as per given numbers 532/57, 2717/563 is

GCF of Numerators i.e. for 532,2717 is 19

LCM of denominators i.e. for 57,563 is 32091.

Thus, GCF of Fractions is 19/32091.Finally, GCF of Fractions for 532/57, 2717/563 is 19/32091.