Greatest Common Factor of 636/90, 214/96, 272/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 636/90, 214/96, 272/920

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 636/90,214/96,272/920

Given fractions are 636/90,214/96,272/920

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 636,214,272

Greatest Common Factor of Numerators i.e. GCF of 636,214,272 is 2 .

LCM of Denominators means LCM of 90,96,920 as per the given fractions.

LCM of 90,96,920 is 33120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 636,214,272

GCF of Fractions 636/90,214/96,272/920 is 2/33120

2 636, 214, 272
318, 107, 136

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

Greatest Common Factor of 636,214,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,214,272 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 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 636,214,272 . The biggest common factor number is the GCF number.
So the greatest common factor 636,214,272 is 2.

Lets's calculate LCM of 90,96,920

2 90, 96, 920
2 45, 48, 460
2 45, 24, 230
3 45, 12, 115
5 15, 4, 115
3, 4, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 3 x 4 x 23 = 33120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33120

Therefore, the GCF of Fractions 636/90,214/96,272/920 is 2/33120

Least Common Multiple of 90,96,920 with GCF Formula

Least Common Multiple of 90,96,920 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 90,96,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,96,920) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(90,96,920) x common factors =2 x 120 = 240

LCM(90,96,920) = ( 90 × 96 × 920 ) / 240

LCM(90,96,920) = 7948800 / 240

LCM(90,96,920) = 33120


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 636/90, 214/96, 272/920

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 636/90, 214/96, 272/920?

Answer: GCF of Numerators as per given numbers 636/90, 214/96, 272/920 is

GCF of Numerators i.e. for 636,214,272 is 2

LCM of denominators i.e. for 90,96,920 is 33120.

Thus, GCF of Fractions is 2/33120.Finally, GCF of Fractions for 636/90, 214/96, 272/920 is 2/33120.