Greatest Common Factor of 901/228, 4638/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 901/228, 4638/249

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 901/228,4638/249

Given fractions are 901/228,4638/249

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 901,4638

Greatest Common Factor of Numerators i.e. GCF of 901,4638 is 1 .

LCM of Denominators means LCM of 228,249 as per the given fractions.

LCM of 228,249 is 18924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 901,4638

GCF of Fractions 901/228,4638/249 is 1/18924

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

Greatest Common Factor of 901,4638 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,4638 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1,2,3,6,773,1546,2319,4638

Greatest Common Factor

We found the factors 901,4638 . The biggest common factor number is the GCF number.
So the greatest common factor 901,4638 is 1.

Lets's calculate LCM of 228,249

3 228, 249
76, 83

∴ So the LCM of the given numbers is 3 x 76 x 83 = 18924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18924

Therefore, the GCF of Fractions 901/228,4638/249 is 1/18924

Least Common Multiple of 228,249 with GCF Formula

Least Common Multiple of 228,249 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 228,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,249) = 3

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

GCF(228,249) x common factors =3 x 1 = 3

LCM(228,249) = ( 228 × 249 ) / 3

LCM(228,249) = 56772 / 3

LCM(228,249) = 18924


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 901/228, 4638/249

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 901/228, 4638/249?

Answer: GCF of Numerators as per given numbers 901/228, 4638/249 is

GCF of Numerators i.e. for 901,4638 is 1

LCM of denominators i.e. for 228,249 is 18924.

Thus, GCF of Fractions is 1/18924.Finally, GCF of Fractions for 901/228, 4638/249 is 1/18924.