Greatest Common Factor of 513/615, 8944/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/615, 8944/852

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 513/615,8944/852

Given fractions are 513/615,8944/852

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 513,8944

Greatest Common Factor of Numerators i.e. GCF of 513,8944 is 1 .

LCM of Denominators means LCM of 615,852 as per the given fractions.

LCM of 615,852 is 174660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,8944

GCF of Fractions 513/615,8944/852 is 1/174660

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 513,8944 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,8944 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 8944

List of positive integer factors of 8944 that divides 8944 without a remainder.

1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944

Greatest Common Factor

We found the factors 513,8944 . The biggest common factor number is the GCF number.
So the greatest common factor 513,8944 is 1.

Lets's calculate LCM of 615,852

3 615, 852
205, 284

∴ So the LCM of the given numbers is 3 x 205 x 284 = 174660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174660

Therefore, the GCF of Fractions 513/615,8944/852 is 1/174660

Least Common Multiple of 615,852 with GCF Formula

Least Common Multiple of 615,852 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 615,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,852) = 3

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

GCF(615,852) x common factors =3 x 1 = 3

LCM(615,852) = ( 615 × 852 ) / 3

LCM(615,852) = 523980 / 3

LCM(615,852) = 174660


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 513/615, 8944/852

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 513/615, 8944/852?

Answer: GCF of Numerators as per given numbers 513/615, 8944/852 is

GCF of Numerators i.e. for 513,8944 is 1

LCM of denominators i.e. for 615,852 is 174660.

Thus, GCF of Fractions is 1/174660.Finally, GCF of Fractions for 513/615, 8944/852 is 1/174660.