Greatest Common Factor of 73/40, 47/60, 126/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/40, 47/60, 126/519

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 73/40,47/60,126/519

Given fractions are 73/40,47/60,126/519

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 73,47,126

Greatest Common Factor of Numerators i.e. GCF of 73,47,126 is 1 .

LCM of Denominators means LCM of 40,60,519 as per the given fractions.

LCM of 40,60,519 is 20760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,47,126

GCF of Fractions 73/40,47/60,126/519 is 1/20760

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

Greatest Common Factor of 73,47,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,47,126 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 73,47,126 . The biggest common factor number is the GCF number.
So the greatest common factor 73,47,126 is 1.

Lets's calculate LCM of 40,60,519

2 40, 60, 519
2 20, 30, 519
3 10, 15, 519
5 10, 5, 173
2, 1, 173

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 1 x 173 = 20760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20760

Therefore, the GCF of Fractions 73/40,47/60,126/519 is 1/20760

Least Common Multiple of 40,60,519 with GCF Formula

Least Common Multiple of 40,60,519 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 40,60,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,60,519) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(40,60,519) x common factors =1 x 60 = 60

LCM(40,60,519) = ( 40 × 60 × 519 ) / 60

LCM(40,60,519) = 1245600 / 60

LCM(40,60,519) = 20760


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 73/40, 47/60, 126/519

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 73/40, 47/60, 126/519?

Answer: GCF of Numerators as per given numbers 73/40, 47/60, 126/519 is

GCF of Numerators i.e. for 73,47,126 is 1

LCM of denominators i.e. for 40,60,519 is 20760.

Thus, GCF of Fractions is 1/20760.Finally, GCF of Fractions for 73/40, 47/60, 126/519 is 1/20760.