Greatest Common Factor of 903/541, 351/366, 411/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/541, 351/366, 411/301

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 903/541,351/366,411/301

Given fractions are 903/541,351/366,411/301

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 903,351,411

Greatest Common Factor of Numerators i.e. GCF of 903,351,411 is 3 .

LCM of Denominators means LCM of 541,366,301 as per the given fractions.

LCM of 541,366,301 is 59599806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,351,411

GCF of Fractions 903/541,351/366,411/301 is 3/59599806

3 903, 351, 411
301, 117, 137

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

Greatest Common Factor of 903,351,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,351,411 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 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 903,351,411 . The biggest common factor number is the GCF number.
So the greatest common factor 903,351,411 is 3.

Lets's calculate LCM of 541,366,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 59599806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59599806

Therefore, the GCF of Fractions 903/541,351/366,411/301 is 3/59599806

Least Common Multiple of 541,366,301 with GCF Formula

Least Common Multiple of 541,366,301 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 541,366,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,366,301) = 1

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

GCF(541,366,301) x common factors =1 x 1 = 1

LCM(541,366,301) = ( 541 × 366 × 301 ) / 1

LCM(541,366,301) = 59599806 / 1

LCM(541,366,301) = 59599806


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 903/541, 351/366, 411/301

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 903/541, 351/366, 411/301?

Answer: GCF of Numerators as per given numbers 903/541, 351/366, 411/301 is

GCF of Numerators i.e. for 903,351,411 is 3

LCM of denominators i.e. for 541,366,301 is 59599806.

Thus, GCF of Fractions is 3/59599806.Finally, GCF of Fractions for 903/541, 351/366, 411/301 is 3/59599806.