Greatest Common Factor of 513/29, 927/7588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/29, 927/7588

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 513/29,927/7588

Given fractions are 513/29,927/7588

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 513,927

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

LCM of Denominators means LCM of 29,7588 as per the given fractions.

LCM of 29,7588 is 220052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,927

GCF of Fractions 513/29,927/7588 is 9/220052

3 513, 927
3 171, 309
57, 103

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

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

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

Factors of 513

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

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

Factors of 927

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

1,3,9,103,309,927

Greatest Common Factor

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

Lets's calculate LCM of 29,7588

Given numbers has no common factors except 1. So, there LCM is their product i.e 220052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/220052

Therefore, the GCF of Fractions 513/29,927/7588 is 9/220052

Least Common Multiple of 29,7588 with GCF Formula

Least Common Multiple of 29,7588 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 29,7588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,7588) = 1

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

GCF(29,7588) x common factors =1 x 1 = 1

LCM(29,7588) = ( 29 × 7588 ) / 1

LCM(29,7588) = 220052 / 1

LCM(29,7588) = 220052


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 513/29, 927/7588

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 513/29, 927/7588?

Answer: GCF of Numerators as per given numbers 513/29, 927/7588 is

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

LCM of denominators i.e. for 29,7588 is 220052.

Thus, GCF of Fractions is 9/220052.Finally, GCF of Fractions for 513/29, 927/7588 is 9/220052.