Greatest Common Factor of 401/56, 442/44, 230/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 401/56, 442/44, 230/738

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 401/56,442/44,230/738

Given fractions are 401/56,442/44,230/738

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 401,442,230

Greatest Common Factor of Numerators i.e. GCF of 401,442,230 is 1 .

LCM of Denominators means LCM of 56,44,738 as per the given fractions.

LCM of 56,44,738 is 227304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 401,442,230

GCF of Fractions 401/56,442/44,230/738 is 1/227304

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

Greatest Common Factor of 401,442,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,442,230 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 401,442,230 . The biggest common factor number is the GCF number.
So the greatest common factor 401,442,230 is 1.

Lets's calculate LCM of 56,44,738

2 56, 44, 738
2 28, 22, 369
14, 11, 369

∴ So the LCM of the given numbers is 2 x 2 x 14 x 11 x 369 = 227304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227304

Therefore, the GCF of Fractions 401/56,442/44,230/738 is 1/227304

Least Common Multiple of 56,44,738 with GCF Formula

Least Common Multiple of 56,44,738 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 56,44,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,44,738) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(56,44,738) x common factors =2 x 4 = 8

LCM(56,44,738) = ( 56 × 44 × 738 ) / 8

LCM(56,44,738) = 1818432 / 8

LCM(56,44,738) = 227304


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 401/56, 442/44, 230/738

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 401/56, 442/44, 230/738?

Answer: GCF of Numerators as per given numbers 401/56, 442/44, 230/738 is

GCF of Numerators i.e. for 401,442,230 is 1

LCM of denominators i.e. for 56,44,738 is 227304.

Thus, GCF of Fractions is 1/227304.Finally, GCF of Fractions for 401/56, 442/44, 230/738 is 1/227304.