Greatest Common Factor of 73/538, 275/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/538, 275/419

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 73/538,275/419

Given fractions are 73/538,275/419

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 73,275

Greatest Common Factor of Numerators i.e. GCF of 73,275 is 1 .

LCM of Denominators means LCM of 538,419 as per the given fractions.

LCM of 538,419 is 225422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,275

GCF of Fractions 73/538,275/419 is 1/225422

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

Greatest Common Factor of 73,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,275 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 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 73,275 . The biggest common factor number is the GCF number.
So the greatest common factor 73,275 is 1.

Lets's calculate LCM of 538,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 225422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225422

Therefore, the GCF of Fractions 73/538,275/419 is 1/225422

Least Common Multiple of 538,419 with GCF Formula

Least Common Multiple of 538,419 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 538,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,419) = 1

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

GCF(538,419) x common factors =1 x 1 = 1

LCM(538,419) = ( 538 × 419 ) / 1

LCM(538,419) = 225422 / 1

LCM(538,419) = 225422


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 73/538, 275/419

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 73/538, 275/419?

Answer: GCF of Numerators as per given numbers 73/538, 275/419 is

GCF of Numerators i.e. for 73,275 is 1

LCM of denominators i.e. for 538,419 is 225422.

Thus, GCF of Fractions is 1/225422.Finally, GCF of Fractions for 73/538, 275/419 is 1/225422.