Greatest Common Factor of 633/22, 227/78, 395/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 633/22, 227/78, 395/229

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 633/22,227/78,395/229

Given fractions are 633/22,227/78,395/229

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 633,227,395

Greatest Common Factor of Numerators i.e. GCF of 633,227,395 is 1 .

LCM of Denominators means LCM of 22,78,229 as per the given fractions.

LCM of 22,78,229 is 196482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 633,227,395

GCF of Fractions 633/22,227/78,395/229 is 1/196482

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

Greatest Common Factor of 633,227,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,227,395 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 227

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

1,227

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 633,227,395 . The biggest common factor number is the GCF number.
So the greatest common factor 633,227,395 is 1.

Lets's calculate LCM of 22,78,229

2 22, 78, 229
11, 39, 229

∴ So the LCM of the given numbers is 2 x 11 x 39 x 229 = 196482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196482

Therefore, the GCF of Fractions 633/22,227/78,395/229 is 1/196482

Least Common Multiple of 22,78,229 with GCF Formula

Least Common Multiple of 22,78,229 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 22,78,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,78,229) = 1

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

GCF(22,78,229) x common factors =1 x 2 = 2

LCM(22,78,229) = ( 22 × 78 × 229 ) / 2

LCM(22,78,229) = 392964 / 2

LCM(22,78,229) = 196482


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 633/22, 227/78, 395/229

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 633/22, 227/78, 395/229?

Answer: GCF of Numerators as per given numbers 633/22, 227/78, 395/229 is

GCF of Numerators i.e. for 633,227,395 is 1

LCM of denominators i.e. for 22,78,229 is 196482.

Thus, GCF of Fractions is 1/196482.Finally, GCF of Fractions for 633/22, 227/78, 395/229 is 1/196482.