Greatest Common Factor of 903/182, 471/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/182, 471/548

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 903/182,471/548

Given fractions are 903/182,471/548

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 903,471

Greatest Common Factor of Numerators i.e. GCF of 903,471 is 3 .

LCM of Denominators means LCM of 182,548 as per the given fractions.

LCM of 182,548 is 49868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,471

GCF of Fractions 903/182,471/548 is 3/49868

3 903, 471
301, 157

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 903,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,471 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 903,471 . The biggest common factor number is the GCF number.
So the greatest common factor 903,471 is 3.

Lets's calculate LCM of 182,548

2 182, 548
91, 274

∴ So the LCM of the given numbers is 2 x 91 x 274 = 49868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/49868

Therefore, the GCF of Fractions 903/182,471/548 is 3/49868

Least Common Multiple of 182,548 with GCF Formula

Least Common Multiple of 182,548 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 182,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,548) = 2

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

GCF(182,548) x common factors =2 x 1 = 2

LCM(182,548) = ( 182 × 548 ) / 2

LCM(182,548) = 99736 / 2

LCM(182,548) = 49868


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 903/182, 471/548

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 903/182, 471/548?

Answer: GCF of Numerators as per given numbers 903/182, 471/548 is

GCF of Numerators i.e. for 903,471 is 3

LCM of denominators i.e. for 182,548 is 49868.

Thus, GCF of Fractions is 3/49868.Finally, GCF of Fractions for 903/182, 471/548 is 3/49868.