Greatest Common Factor of 527/60, 595/36, 884/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 527/60, 595/36, 884/867

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 527/60,595/36,884/867

Given fractions are 527/60,595/36,884/867

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 527,595,884

Greatest Common Factor of Numerators i.e. GCF of 527,595,884 is 17 .

LCM of Denominators means LCM of 60,36,867 as per the given fractions.

LCM of 60,36,867 is 52020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 527,595,884

GCF of Fractions 527/60,595/36,884/867 is 17/52020

17 527, 595, 884
31, 35, 52

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 527,595,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,595,884 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 527,595,884 . The biggest common factor number is the GCF number.
So the greatest common factor 527,595,884 is 17.

Lets's calculate LCM of 60,36,867

2 60, 36, 867
2 30, 18, 867
3 15, 9, 867
5, 3, 289

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 289 = 52020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/52020

Therefore, the GCF of Fractions 527/60,595/36,884/867 is 17/52020

Least Common Multiple of 60,36,867 with GCF Formula

Least Common Multiple of 60,36,867 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 60,36,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,36,867) = 3

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

GCF(60,36,867) x common factors =3 x 12 = 36

LCM(60,36,867) = ( 60 × 36 × 867 ) / 36

LCM(60,36,867) = 1872720 / 36

LCM(60,36,867) = 52020


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 527/60, 595/36, 884/867

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 527/60, 595/36, 884/867?

Answer: GCF of Numerators as per given numbers 527/60, 595/36, 884/867 is

GCF of Numerators i.e. for 527,595,884 is 17

LCM of denominators i.e. for 60,36,867 is 52020.

Thus, GCF of Fractions is 17/52020.Finally, GCF of Fractions for 527/60, 595/36, 884/867 is 17/52020.