Greatest Common Factor of 513/203, 9546/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 513/203, 9546/169

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 513/203,9546/169

Given fractions are 513/203,9546/169

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 513,9546

Greatest Common Factor of Numerators i.e. GCF of 513,9546 is 3 .

LCM of Denominators means LCM of 203,169 as per the given fractions.

LCM of 203,169 is 34307 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 513,9546

GCF of Fractions 513/203,9546/169 is 3/34307

3 513, 9546
171, 3182

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

Greatest Common Factor of 513,9546 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,9546 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 9546

List of positive integer factors of 9546 that divides 9546 without a remainder.

1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546

Greatest Common Factor

We found the factors 513,9546 . The biggest common factor number is the GCF number.
So the greatest common factor 513,9546 is 3.

Lets's calculate LCM of 203,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 34307

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34307

Therefore, the GCF of Fractions 513/203,9546/169 is 3/34307

Least Common Multiple of 203,169 with GCF Formula

Least Common Multiple of 203,169 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 203,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,169) = 1

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

GCF(203,169) x common factors =1 x 1 = 1

LCM(203,169) = ( 203 × 169 ) / 1

LCM(203,169) = 34307 / 1

LCM(203,169) = 34307


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 513/203, 9546/169

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 513/203, 9546/169?

Answer: GCF of Numerators as per given numbers 513/203, 9546/169 is

GCF of Numerators i.e. for 513,9546 is 3

LCM of denominators i.e. for 203,169 is 34307.

Thus, GCF of Fractions is 3/34307.Finally, GCF of Fractions for 513/203, 9546/169 is 3/34307.