Greatest Common Factor of 73/380, 541/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/380, 541/205

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 73/380,541/205

Given fractions are 73/380,541/205

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 73,541

Greatest Common Factor of Numerators i.e. GCF of 73,541 is 1 .

LCM of Denominators means LCM of 380,205 as per the given fractions.

LCM of 380,205 is 15580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,541

GCF of Fractions 73/380,541/205 is 1/15580

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

Greatest Common Factor of 73,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,541 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 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 73,541 . The biggest common factor number is the GCF number.
So the greatest common factor 73,541 is 1.

Lets's calculate LCM of 380,205

5 380, 205
76, 41

∴ So the LCM of the given numbers is 5 x 76 x 41 = 15580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15580

Therefore, the GCF of Fractions 73/380,541/205 is 1/15580

Least Common Multiple of 380,205 with GCF Formula

Least Common Multiple of 380,205 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 380,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,205) = 5

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

GCF(380,205) x common factors =5 x 1 = 5

LCM(380,205) = ( 380 × 205 ) / 5

LCM(380,205) = 77900 / 5

LCM(380,205) = 15580


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 73/380, 541/205

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 73/380, 541/205?

Answer: GCF of Numerators as per given numbers 73/380, 541/205 is

GCF of Numerators i.e. for 73,541 is 1

LCM of denominators i.e. for 380,205 is 15580.

Thus, GCF of Fractions is 1/15580.Finally, GCF of Fractions for 73/380, 541/205 is 1/15580.