Greatest Common Factor of 900/284, 4779/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 900/284, 4779/514

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 900/284,4779/514

Given fractions are 900/284,4779/514

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 900,4779

Greatest Common Factor of Numerators i.e. GCF of 900,4779 is 9 .

LCM of Denominators means LCM of 284,514 as per the given fractions.

LCM of 284,514 is 72988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 900,4779

GCF of Fractions 900/284,4779/514 is 9/72988

3 900, 4779
3 300, 1593
100, 531

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 900,4779 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,4779 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 4779

List of positive integer factors of 4779 that divides 4779 without a remainder.

1,3,9,27,59,81,177,531,1593,4779

Greatest Common Factor

We found the factors 900,4779 . The biggest common factor number is the GCF number.
So the greatest common factor 900,4779 is 9.

Lets's calculate LCM of 284,514

2 284, 514
142, 257

∴ So the LCM of the given numbers is 2 x 142 x 257 = 72988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/72988

Therefore, the GCF of Fractions 900/284,4779/514 is 9/72988

Least Common Multiple of 284,514 with GCF Formula

Least Common Multiple of 284,514 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 284,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,514) = 2

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

GCF(284,514) x common factors =2 x 1 = 2

LCM(284,514) = ( 284 × 514 ) / 2

LCM(284,514) = 145976 / 2

LCM(284,514) = 72988


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 900/284, 4779/514

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 900/284, 4779/514?

Answer: GCF of Numerators as per given numbers 900/284, 4779/514 is

GCF of Numerators i.e. for 900,4779 is 9

LCM of denominators i.e. for 284,514 is 72988.

Thus, GCF of Fractions is 9/72988.Finally, GCF of Fractions for 900/284, 4779/514 is 9/72988.