Greatest Common Factor of 408/284, 483/118, 520/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/284, 483/118, 520/824

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 408/284,483/118,520/824

Given fractions are 408/284,483/118,520/824

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 408,483,520

Greatest Common Factor of Numerators i.e. GCF of 408,483,520 is 1 .

LCM of Denominators means LCM of 284,118,824 as per the given fractions.

LCM of 284,118,824 is 3451736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,483,520

GCF of Fractions 408/284,483/118,520/824 is 1/3451736

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 408,483,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,483,520 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 408,483,520 . The biggest common factor number is the GCF number.
So the greatest common factor 408,483,520 is 1.

Lets's calculate LCM of 284,118,824

2 284, 118, 824
2 142, 59, 412
71, 59, 206

∴ So the LCM of the given numbers is 2 x 2 x 71 x 59 x 206 = 3451736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3451736

Therefore, the GCF of Fractions 408/284,483/118,520/824 is 1/3451736

Least Common Multiple of 284,118,824 with GCF Formula

Least Common Multiple of 284,118,824 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 284,118,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,118,824) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(284,118,824) x common factors =2 x 4 = 8

LCM(284,118,824) = ( 284 × 118 × 824 ) / 8

LCM(284,118,824) = 27613888 / 8

LCM(284,118,824) = 3451736


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 408/284, 483/118, 520/824

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 408/284, 483/118, 520/824?

Answer: GCF of Numerators as per given numbers 408/284, 483/118, 520/824 is

GCF of Numerators i.e. for 408,483,520 is 1

LCM of denominators i.e. for 284,118,824 is 3451736.

Thus, GCF of Fractions is 1/3451736.Finally, GCF of Fractions for 408/284, 483/118, 520/824 is 1/3451736.