Greatest Common Factor of 4729/75, 9476/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4729/75, 9476/273

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 4729/75,9476/273

Given fractions are 4729/75,9476/273

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 4729,9476

Greatest Common Factor of Numerators i.e. GCF of 4729,9476 is 1 .

LCM of Denominators means LCM of 75,273 as per the given fractions.

LCM of 75,273 is 6825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4729,9476

GCF of Fractions 4729/75,9476/273 is 1/6825

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

Greatest Common Factor of 4729,9476 By Matching Biggest Common Factor Method

Greatest Common Factor of 4729,9476 By Matching Biggest Common Factor Method

Factors of 4729

List of positive integer factors of 4729 that divides 4729 without a remainder.

1,4729

Factors of 9476

List of positive integer factors of 9476 that divides 9476 without a remainder.

1,2,4,23,46,92,103,206,412,2369,4738,9476

Greatest Common Factor

We found the factors 4729,9476 . The biggest common factor number is the GCF number.
So the greatest common factor 4729,9476 is 1.

Lets's calculate LCM of 75,273

3 75, 273
25, 91

∴ So the LCM of the given numbers is 3 x 25 x 91 = 6825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6825

Therefore, the GCF of Fractions 4729/75,9476/273 is 1/6825

Least Common Multiple of 75,273 with GCF Formula

Least Common Multiple of 75,273 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 75,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,273) = 3

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

GCF(75,273) x common factors =3 x 1 = 3

LCM(75,273) = ( 75 × 273 ) / 3

LCM(75,273) = 20475 / 3

LCM(75,273) = 6825


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 4729/75, 9476/273

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 4729/75, 9476/273?

Answer: GCF of Numerators as per given numbers 4729/75, 9476/273 is

GCF of Numerators i.e. for 4729,9476 is 1

LCM of denominators i.e. for 75,273 is 6825.

Thus, GCF of Fractions is 1/6825.Finally, GCF of Fractions for 4729/75, 9476/273 is 1/6825.