Greatest Common Factor of 513/506, 2295/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/506, 2295/623

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 513/506,2295/623

Given fractions are 513/506,2295/623

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 513,2295

Greatest Common Factor of Numerators i.e. GCF of 513,2295 is 27 .

LCM of Denominators means LCM of 506,623 as per the given fractions.

LCM of 506,623 is 315238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,2295

GCF of Fractions 513/506,2295/623 is 27/315238

3 513, 2295
3 171, 765
3 57, 255
19, 85

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 513,2295 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,2295 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 2295

List of positive integer factors of 2295 that divides 2295 without a remainder.

1,3,5,9,15,17,27,45,51,85,135,153,255,459,765,2295

Greatest Common Factor

We found the factors 513,2295 . The biggest common factor number is the GCF number.
So the greatest common factor 513,2295 is 27.

Lets's calculate LCM of 506,623

Given numbers has no common factors except 1. So, there LCM is their product i.e 315238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/315238

Therefore, the GCF of Fractions 513/506,2295/623 is 27/315238

Least Common Multiple of 506,623 with GCF Formula

Least Common Multiple of 506,623 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 506,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,623) = 1

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

GCF(506,623) x common factors =1 x 1 = 1

LCM(506,623) = ( 506 × 623 ) / 1

LCM(506,623) = 315238 / 1

LCM(506,623) = 315238


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 513/506, 2295/623

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 513/506, 2295/623?

Answer: GCF of Numerators as per given numbers 513/506, 2295/623 is

GCF of Numerators i.e. for 513,2295 is 27

LCM of denominators i.e. for 506,623 is 315238.

Thus, GCF of Fractions is 27/315238.Finally, GCF of Fractions for 513/506, 2295/623 is 27/315238.