GCD of 80, 82, 85, 50 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 80, 82, 85, 50 i.e. 1 largest integer that divides all the numbers equally.

GCD of 80, 82, 85, 50 is 1

GCD(80, 82, 85, 50) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 80, 82, 85, 50 is 1

GCD(80, 82, 85, 50) = 1

GCD of 80,82,85,50 Calculator

GCDof 80,82,85,50 is 1

Given Input numbers are 80, 82, 85, 50

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Greatest Common Divisior

We found the divisors of 80, 82, 85, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 82, 85, 50 is 1.

Therefore, GCD of numbers 80, 82, 85, 50 is 1

Finding GCD of 80, 82, 85, 50 using Prime Factorization

Given Input Data is 80, 82, 85, 50

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 82 is 2 x 41

Prime Factorization of 85 is 5 x 17

Prime Factorization of 50 is 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 80, 82, 85, 50 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(80, 82) = 3280

GCD(80, 82) = ( 80 x 82 ) / 3280

GCD(80, 82) = 6560 / 3280

GCD(80, 82) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

GCD of 80, 82, 85, 50 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 80, 82, 85, 50

1. What is the GCD of 80, 82, 85, 50?

GCD of 80, 82, 85, 50 is 1


2. Where do I get the detailed procedure to find GCD of 80, 82, 85, 50?

You can find a detailed procedure to find GCD of 80, 82, 85, 50 on our page.


3. How to find GCD of 80, 82, 85, 50 on a calculator?

You can find the GCD of 80, 82, 85, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.