Greatest Common Factor of 927/592, 513/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 927/592, 513/316

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 927/592,513/316

Given fractions are 927/592,513/316

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 927,513

Greatest Common Factor of Numerators i.e. GCF of 927,513 is 9 .

LCM of Denominators means LCM of 592,316 as per the given fractions.

LCM of 592,316 is 46768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 927,513

GCF of Fractions 927/592,513/316 is 9/46768

3 927, 513
3 309, 171
103, 57

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 927,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,513 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 927,513 . The biggest common factor number is the GCF number.
So the greatest common factor 927,513 is 9.

Lets's calculate LCM of 592,316

2 592, 316
2 296, 158
148, 79

∴ So the LCM of the given numbers is 2 x 2 x 148 x 79 = 46768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/46768

Therefore, the GCF of Fractions 927/592,513/316 is 9/46768

Least Common Multiple of 592,316 with GCF Formula

Least Common Multiple of 592,316 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 592,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,316) = 4

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

GCF(592,316) x common factors =4 x 1 = 4

LCM(592,316) = ( 592 × 316 ) / 4

LCM(592,316) = 187072 / 4

LCM(592,316) = 46768


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 927/592, 513/316

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 927/592, 513/316?

Answer: GCF of Numerators as per given numbers 927/592, 513/316 is

GCF of Numerators i.e. for 927,513 is 9

LCM of denominators i.e. for 592,316 is 46768.

Thus, GCF of Fractions is 9/46768.Finally, GCF of Fractions for 927/592, 513/316 is 9/46768.