Greatest Common Factor of 8340/388, 1024/4590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8340/388, 1024/4590

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 8340/388,1024/4590

Given fractions are 8340/388,1024/4590

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 8340,1024

Greatest Common Factor of Numerators i.e. GCF of 8340,1024 is 4 .

LCM of Denominators means LCM of 388,4590 as per the given fractions.

LCM of 388,4590 is 890460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8340,1024

GCF of Fractions 8340/388,1024/4590 is 4/890460

2 8340, 1024
2 4170, 512
2085, 256

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8340,1024 By Matching Biggest Common Factor Method

Greatest Common Factor of 8340,1024 By Matching Biggest Common Factor Method

Factors of 8340

List of positive integer factors of 8340 that divides 8340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340

Factors of 1024

List of positive integer factors of 1024 that divides 1024 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024

Greatest Common Factor

We found the factors 8340,1024 . The biggest common factor number is the GCF number.
So the greatest common factor 8340,1024 is 4.

Lets's calculate LCM of 388,4590

2 388, 4590
194, 2295

∴ So the LCM of the given numbers is 2 x 194 x 2295 = 890460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/890460

Therefore, the GCF of Fractions 8340/388,1024/4590 is 4/890460

Least Common Multiple of 388,4590 with GCF Formula

Least Common Multiple of 388,4590 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 388,4590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,4590) = 2

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

GCF(388,4590) x common factors =2 x 1 = 2

LCM(388,4590) = ( 388 × 4590 ) / 2

LCM(388,4590) = 1780920 / 2

LCM(388,4590) = 890460


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 8340/388, 1024/4590

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 8340/388, 1024/4590?

Answer: GCF of Numerators as per given numbers 8340/388, 1024/4590 is

GCF of Numerators i.e. for 8340,1024 is 4

LCM of denominators i.e. for 388,4590 is 890460.

Thus, GCF of Fractions is 4/890460.Finally, GCF of Fractions for 8340/388, 1024/4590 is 4/890460.