Greatest Common Factor of 546/27, 513/7697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/27, 513/7697

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 546/27,513/7697

Given fractions are 546/27,513/7697

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 546,513

Greatest Common Factor of Numerators i.e. GCF of 546,513 is 3 .

LCM of Denominators means LCM of 27,7697 as per the given fractions.

LCM of 27,7697 is 207819 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,513

GCF of Fractions 546/27,513/7697 is 3/207819

3 546, 513
182, 171

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

Greatest Common Factor of 546,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,513 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 546,513 . The biggest common factor number is the GCF number.
So the greatest common factor 546,513 is 3.

Lets's calculate LCM of 27,7697

Given numbers has no common factors except 1. So, there LCM is their product i.e 207819

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/207819

Therefore, the GCF of Fractions 546/27,513/7697 is 3/207819

Least Common Multiple of 27,7697 with GCF Formula

Least Common Multiple of 27,7697 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 27,7697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,7697) = 1

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

GCF(27,7697) x common factors =1 x 1 = 1

LCM(27,7697) = ( 27 × 7697 ) / 1

LCM(27,7697) = 207819 / 1

LCM(27,7697) = 207819


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 546/27, 513/7697

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 546/27, 513/7697?

Answer: GCF of Numerators as per given numbers 546/27, 513/7697 is

GCF of Numerators i.e. for 546,513 is 3

LCM of denominators i.e. for 27,7697 is 207819.

Thus, GCF of Fractions is 3/207819.Finally, GCF of Fractions for 546/27, 513/7697 is 3/207819.