Greatest Common Factor of 513/766, 209/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/766, 209/945

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 513/766,209/945

Given fractions are 513/766,209/945

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 513,209

Greatest Common Factor of Numerators i.e. GCF of 513,209 is 19 .

LCM of Denominators means LCM of 766,945 as per the given fractions.

LCM of 766,945 is 723870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,209

GCF of Fractions 513/766,209/945 is 19/723870

19 513, 209
27, 11

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 513,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,209 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 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 513,209 . The biggest common factor number is the GCF number.
So the greatest common factor 513,209 is 19.

Lets's calculate LCM of 766,945

Given numbers has no common factors except 1. So, there LCM is their product i.e 723870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/723870

Therefore, the GCF of Fractions 513/766,209/945 is 19/723870

Least Common Multiple of 766,945 with GCF Formula

Least Common Multiple of 766,945 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 766,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,945) = 1

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

GCF(766,945) x common factors =1 x 1 = 1

LCM(766,945) = ( 766 × 945 ) / 1

LCM(766,945) = 723870 / 1

LCM(766,945) = 723870


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 513/766, 209/945

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 513/766, 209/945?

Answer: GCF of Numerators as per given numbers 513/766, 209/945 is

GCF of Numerators i.e. for 513,209 is 19

LCM of denominators i.e. for 766,945 is 723870.

Thus, GCF of Fractions is 19/723870.Finally, GCF of Fractions for 513/766, 209/945 is 19/723870.