Greatest Common Factor of 512/82, 820/98, 390/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/82, 820/98, 390/761

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 512/82,820/98,390/761

Given fractions are 512/82,820/98,390/761

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 512,820,390

Greatest Common Factor of Numerators i.e. GCF of 512,820,390 is 2 .

LCM of Denominators means LCM of 82,98,761 as per the given fractions.

LCM of 82,98,761 is 3057698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,820,390

GCF of Fractions 512/82,820/98,390/761 is 2/3057698

2 512, 820, 390
256, 410, 195

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

Greatest Common Factor of 512,820,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,820,390 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

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

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 512,820,390 . The biggest common factor number is the GCF number.
So the greatest common factor 512,820,390 is 2.

Lets's calculate LCM of 82,98,761

2 82, 98, 761
41, 49, 761

∴ So the LCM of the given numbers is 2 x 41 x 49 x 761 = 3057698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3057698

Therefore, the GCF of Fractions 512/82,820/98,390/761 is 2/3057698

Least Common Multiple of 82,98,761 with GCF Formula

Least Common Multiple of 82,98,761 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 82,98,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,98,761) = 1

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

GCF(82,98,761) x common factors =1 x 2 = 2

LCM(82,98,761) = ( 82 × 98 × 761 ) / 2

LCM(82,98,761) = 6115396 / 2

LCM(82,98,761) = 3057698


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 512/82, 820/98, 390/761

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 512/82, 820/98, 390/761?

Answer: GCF of Numerators as per given numbers 512/82, 820/98, 390/761 is

GCF of Numerators i.e. for 512,820,390 is 2

LCM of denominators i.e. for 82,98,761 is 3057698.

Thus, GCF of Fractions is 2/3057698.Finally, GCF of Fractions for 512/82, 820/98, 390/761 is 2/3057698.