Greatest Common Factor of 819/512, 5252/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/512, 5252/153

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 819/512,5252/153

Given fractions are 819/512,5252/153

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 819,5252

Greatest Common Factor of Numerators i.e. GCF of 819,5252 is 13 .

LCM of Denominators means LCM of 512,153 as per the given fractions.

LCM of 512,153 is 78336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,5252

GCF of Fractions 819/512,5252/153 is 13/78336

13 819, 5252
63, 404

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 819,5252 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,5252 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1,2,4,13,26,52,101,202,404,1313,2626,5252

Greatest Common Factor

We found the factors 819,5252 . The biggest common factor number is the GCF number.
So the greatest common factor 819,5252 is 13.

Lets's calculate LCM of 512,153

Given numbers has no common factors except 1. So, there LCM is their product i.e 78336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/78336

Therefore, the GCF of Fractions 819/512,5252/153 is 13/78336

Least Common Multiple of 512,153 with GCF Formula

Least Common Multiple of 512,153 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 512,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,153) = 1

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

GCF(512,153) x common factors =1 x 1 = 1

LCM(512,153) = ( 512 × 153 ) / 1

LCM(512,153) = 78336 / 1

LCM(512,153) = 78336


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 819/512, 5252/153

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 819/512, 5252/153?

Answer: GCF of Numerators as per given numbers 819/512, 5252/153 is

GCF of Numerators i.e. for 819,5252 is 13

LCM of denominators i.e. for 512,153 is 78336.

Thus, GCF of Fractions is 13/78336.Finally, GCF of Fractions for 819/512, 5252/153 is 13/78336.