Greatest Common Factor of 341/631, 239/514, 227/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 341/631, 239/514, 227/898

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 341/631,239/514,227/898

Given fractions are 341/631,239/514,227/898

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 341,239,227

Greatest Common Factor of Numerators i.e. GCF of 341,239,227 is 1 .

LCM of Denominators means LCM of 631,514,898 as per the given fractions.

LCM of 631,514,898 is 145625966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 341,239,227

GCF of Fractions 341/631,239/514,227/898 is 1/145625966

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

Greatest Common Factor of 341,239,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,239,227 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 341,239,227 . The biggest common factor number is the GCF number.
So the greatest common factor 341,239,227 is 1.

Lets's calculate LCM of 631,514,898

2 631, 514, 898
631, 257, 449

∴ So the LCM of the given numbers is 2 x 631 x 257 x 449 = 145625966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145625966

Therefore, the GCF of Fractions 341/631,239/514,227/898 is 1/145625966

Least Common Multiple of 631,514,898 with GCF Formula

Least Common Multiple of 631,514,898 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 631,514,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,514,898) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(631,514,898) x common factors =1 x 2 = 2

LCM(631,514,898) = ( 631 × 514 × 898 ) / 2

LCM(631,514,898) = 291251932 / 2

LCM(631,514,898) = 145625966


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 341/631, 239/514, 227/898

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 341/631, 239/514, 227/898?

Answer: GCF of Numerators as per given numbers 341/631, 239/514, 227/898 is

GCF of Numerators i.e. for 341,239,227 is 1

LCM of denominators i.e. for 631,514,898 is 145625966.

Thus, GCF of Fractions is 1/145625966.Finally, GCF of Fractions for 341/631, 239/514, 227/898 is 1/145625966.