Greatest Common Factor of 636/404, 166/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 636/404, 166/418

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 636/404,166/418

Given fractions are 636/404,166/418

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 636,166

Greatest Common Factor of Numerators i.e. GCF of 636,166 is 2 .

LCM of Denominators means LCM of 404,418 as per the given fractions.

LCM of 404,418 is 84436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 636,166

GCF of Fractions 636/404,166/418 is 2/84436

2 636, 166
318, 83

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 636,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,166 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 636,166 . The biggest common factor number is the GCF number.
So the greatest common factor 636,166 is 2.

Lets's calculate LCM of 404,418

2 404, 418
202, 209

∴ So the LCM of the given numbers is 2 x 202 x 209 = 84436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84436

Therefore, the GCF of Fractions 636/404,166/418 is 2/84436

Least Common Multiple of 404,418 with GCF Formula

Least Common Multiple of 404,418 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 404,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,418) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(404,418) x common factors =2 x 1 = 2

LCM(404,418) = ( 404 × 418 ) / 2

LCM(404,418) = 168872 / 2

LCM(404,418) = 84436


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 636/404, 166/418

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 636/404, 166/418?

Answer: GCF of Numerators as per given numbers 636/404, 166/418 is

GCF of Numerators i.e. for 636,166 is 2

LCM of denominators i.e. for 404,418 is 84436.

Thus, GCF of Fractions is 2/84436.Finally, GCF of Fractions for 636/404, 166/418 is 2/84436.