Greatest Common Factor of 73/458, 756/415, 724/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/458, 756/415, 724/206

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 73/458,756/415,724/206

Given fractions are 73/458,756/415,724/206

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 73,756,724

Greatest Common Factor of Numerators i.e. GCF of 73,756,724 is 1 .

LCM of Denominators means LCM of 458,415,206 as per the given fractions.

LCM of 458,415,206 is 19577210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,756,724

GCF of Fractions 73/458,756/415,724/206 is 1/19577210

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

Greatest Common Factor of 73,756,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,756,724 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 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 73,756,724 . The biggest common factor number is the GCF number.
So the greatest common factor 73,756,724 is 1.

Lets's calculate LCM of 458,415,206

2 458, 415, 206
229, 415, 103

∴ So the LCM of the given numbers is 2 x 229 x 415 x 103 = 19577210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19577210

Therefore, the GCF of Fractions 73/458,756/415,724/206 is 1/19577210

Least Common Multiple of 458,415,206 with GCF Formula

Least Common Multiple of 458,415,206 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 458,415,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,415,206) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(458,415,206) x common factors =1 x 2 = 2

LCM(458,415,206) = ( 458 × 415 × 206 ) / 2

LCM(458,415,206) = 39154420 / 2

LCM(458,415,206) = 19577210


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 73/458, 756/415, 724/206

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 73/458, 756/415, 724/206?

Answer: GCF of Numerators as per given numbers 73/458, 756/415, 724/206 is

GCF of Numerators i.e. for 73,756,724 is 1

LCM of denominators i.e. for 458,415,206 is 19577210.

Thus, GCF of Fractions is 1/19577210.Finally, GCF of Fractions for 73/458, 756/415, 724/206 is 1/19577210.