Greatest Common Factor of 333/148, 627/814, 484/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 333/148, 627/814, 484/408

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 333/148,627/814,484/408

Given fractions are 333/148,627/814,484/408

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 333,627,484

Greatest Common Factor of Numerators i.e. GCF of 333,627,484 is 1 .

LCM of Denominators means LCM of 148,814,408 as per the given fractions.

LCM of 148,814,408 is 166056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 333,627,484

GCF of Fractions 333/148,627/814,484/408 is 1/166056

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

Greatest Common Factor of 333,627,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,627,484 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 333,627,484 . The biggest common factor number is the GCF number.
So the greatest common factor 333,627,484 is 1.

Lets's calculate LCM of 148,814,408

2 148, 814, 408
2 74, 407, 204
37 37, 407, 102
1, 11, 102

∴ So the LCM of the given numbers is 2 x 2 x 37 x 1 x 11 x 102 = 166056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166056

Therefore, the GCF of Fractions 333/148,627/814,484/408 is 1/166056

Least Common Multiple of 148,814,408 with GCF Formula

Least Common Multiple of 148,814,408 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 148,814,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,814,408) = 2

common factors(in case of two or more numbers have common factors) = 148

GCF(148,814,408) x common factors =2 x 148 = 296

LCM(148,814,408) = ( 148 × 814 × 408 ) / 296

LCM(148,814,408) = 49152576 / 296

LCM(148,814,408) = 166056


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 333/148, 627/814, 484/408

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 333/148, 627/814, 484/408?

Answer: GCF of Numerators as per given numbers 333/148, 627/814, 484/408 is

GCF of Numerators i.e. for 333,627,484 is 1

LCM of denominators i.e. for 148,814,408 is 166056.

Thus, GCF of Fractions is 1/166056.Finally, GCF of Fractions for 333/148, 627/814, 484/408 is 1/166056.