Greatest Common Factor of 419/733, 253/212, 215/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 419/733, 253/212, 215/466

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 419/733,253/212,215/466

Given fractions are 419/733,253/212,215/466

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 419,253,215

Greatest Common Factor of Numerators i.e. GCF of 419,253,215 is 1 .

LCM of Denominators means LCM of 733,212,466 as per the given fractions.

LCM of 733,212,466 is 36207268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 419,253,215

GCF of Fractions 419/733,253/212,215/466 is 1/36207268

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

Greatest Common Factor of 419,253,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,253,215 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 419,253,215 . The biggest common factor number is the GCF number.
So the greatest common factor 419,253,215 is 1.

Lets's calculate LCM of 733,212,466

2 733, 212, 466
733, 106, 233

∴ So the LCM of the given numbers is 2 x 733 x 106 x 233 = 36207268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36207268

Therefore, the GCF of Fractions 419/733,253/212,215/466 is 1/36207268

Least Common Multiple of 733,212,466 with GCF Formula

Least Common Multiple of 733,212,466 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 733,212,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,212,466) = 1

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

GCF(733,212,466) x common factors =1 x 2 = 2

LCM(733,212,466) = ( 733 × 212 × 466 ) / 2

LCM(733,212,466) = 72414536 / 2

LCM(733,212,466) = 36207268


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 419/733, 253/212, 215/466

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 419/733, 253/212, 215/466?

Answer: GCF of Numerators as per given numbers 419/733, 253/212, 215/466 is

GCF of Numerators i.e. for 419,253,215 is 1

LCM of denominators i.e. for 733,212,466 is 36207268.

Thus, GCF of Fractions is 1/36207268.Finally, GCF of Fractions for 419/733, 253/212, 215/466 is 1/36207268.