Greatest Common Factor of 583/324, 5137/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 583/324, 5137/900

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 583/324,5137/900

Given fractions are 583/324,5137/900

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 583,5137

Greatest Common Factor of Numerators i.e. GCF of 583,5137 is 11 .

LCM of Denominators means LCM of 324,900 as per the given fractions.

LCM of 324,900 is 8100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 583,5137

GCF of Fractions 583/324,5137/900 is 11/8100

11 583, 5137
53, 467

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 583,5137 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,5137 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 5137

List of positive integer factors of 5137 that divides 5137 without a remainder.

1,11,467,5137

Greatest Common Factor

We found the factors 583,5137 . The biggest common factor number is the GCF number.
So the greatest common factor 583,5137 is 11.

Lets's calculate LCM of 324,900

2 324, 900
2 162, 450
3 81, 225
3 27, 75
9, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 9 x 25 = 8100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/8100

Therefore, the GCF of Fractions 583/324,5137/900 is 11/8100

Least Common Multiple of 324,900 with GCF Formula

Least Common Multiple of 324,900 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 324,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,900) = 36

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

GCF(324,900) x common factors =36 x 1 = 36

LCM(324,900) = ( 324 × 900 ) / 36

LCM(324,900) = 291600 / 36

LCM(324,900) = 8100


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 583/324, 5137/900

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 583/324, 5137/900?

Answer: GCF of Numerators as per given numbers 583/324, 5137/900 is

GCF of Numerators i.e. for 583,5137 is 11

LCM of denominators i.e. for 324,900 is 8100.

Thus, GCF of Fractions is 11/8100.Finally, GCF of Fractions for 583/324, 5137/900 is 11/8100.