Greatest Common Factor of 14/920, 212/900, 308/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/920, 212/900, 308/903

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 14/920,212/900,308/903

Given fractions are 14/920,212/900,308/903

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 14,212,308

Greatest Common Factor of Numerators i.e. GCF of 14,212,308 is 2 .

LCM of Denominators means LCM of 920,900,903 as per the given fractions.

LCM of 920,900,903 is 12461400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,212,308

GCF of Fractions 14/920,212/900,308/903 is 2/12461400

2 14, 212, 308
7, 106, 154

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

Greatest Common Factor of 14,212,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,212,308 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 14,212,308 . The biggest common factor number is the GCF number.
So the greatest common factor 14,212,308 is 2.

Lets's calculate LCM of 920,900,903

2 920, 900, 903
2 460, 450, 903
3 230, 225, 903
5 230, 75, 301
46, 15, 301

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 46 x 15 x 301 = 12461400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12461400

Therefore, the GCF of Fractions 14/920,212/900,308/903 is 2/12461400

Least Common Multiple of 920,900,903 with GCF Formula

Least Common Multiple of 920,900,903 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 920,900,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,900,903) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(920,900,903) x common factors =1 x 60 = 60

LCM(920,900,903) = ( 920 × 900 × 903 ) / 60

LCM(920,900,903) = 747684000 / 60

LCM(920,900,903) = 12461400


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 14/920, 212/900, 308/903

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 14/920, 212/900, 308/903?

Answer: GCF of Numerators as per given numbers 14/920, 212/900, 308/903 is

GCF of Numerators i.e. for 14,212,308 is 2

LCM of denominators i.e. for 920,900,903 is 12461400.

Thus, GCF of Fractions is 2/12461400.Finally, GCF of Fractions for 14/920, 212/900, 308/903 is 2/12461400.