Greatest Common Factor of 284/73, 446/10, 338/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 284/73, 446/10, 338/36

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 284/73,446/10,338/36

Given fractions are 284/73,446/10,338/36

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 284,446,338

Greatest Common Factor of Numerators i.e. GCF of 284,446,338 is 2 .

LCM of Denominators means LCM of 73,10,36 as per the given fractions.

LCM of 73,10,36 is 13140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 284,446,338

GCF of Fractions 284/73,446/10,338/36 is 2/13140

2 284, 446, 338
142, 223, 169

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

Greatest Common Factor of 284,446,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,446,338 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 284,446,338 . The biggest common factor number is the GCF number.
So the greatest common factor 284,446,338 is 2.

Lets's calculate LCM of 73,10,36

2 73, 10, 36
73, 5, 18

∴ So the LCM of the given numbers is 2 x 73 x 5 x 18 = 13140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13140

Therefore, the GCF of Fractions 284/73,446/10,338/36 is 2/13140

Least Common Multiple of 73,10,36 with GCF Formula

Least Common Multiple of 73,10,36 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 73,10,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,10,36) = 1

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

GCF(73,10,36) x common factors =1 x 2 = 2

LCM(73,10,36) = ( 73 × 10 × 36 ) / 2

LCM(73,10,36) = 26280 / 2

LCM(73,10,36) = 13140


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 284/73, 446/10, 338/36

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 284/73, 446/10, 338/36?

Answer: GCF of Numerators as per given numbers 284/73, 446/10, 338/36 is

GCF of Numerators i.e. for 284,446,338 is 2

LCM of denominators i.e. for 73,10,36 is 13140.

Thus, GCF of Fractions is 2/13140.Finally, GCF of Fractions for 284/73, 446/10, 338/36 is 2/13140.