GCD of 985, 820, 82, 194 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 985, 820, 82, 194 i.e. 1 largest integer that divides all the numbers equally.

GCD of 985, 820, 82, 194 is 1

GCD(985, 820, 82, 194) = 1

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

GCD of

GCD of numbers 985, 820, 82, 194 is 1

GCD(985, 820, 82, 194) = 1

GCD of 985,820,82,194 Calculator

GCDof 985,820,82,194 is 1

Given Input numbers are 985, 820, 82, 194

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

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 820

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

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

Divisors of 82

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

1, 2, 41, 82

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 985, 820, 82, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 820, 82, 194 is 1.

Therefore, GCD of numbers 985, 820, 82, 194 is 1

Finding GCD of 985, 820, 82, 194 using Prime Factorization

Given Input Data is 985, 820, 82, 194

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 82 is 2 x 41

Prime Factorization of 194 is 2 x 97

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

Finding GCD of 985, 820, 82, 194 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(985, 820) = 161540

GCD(985, 820) = ( 985 x 820 ) / 161540

GCD(985, 820) = 807700 / 161540

GCD(985, 820) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 82

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

LCM(5, 82) = 410

GCD(5, 82) = ( 5 x 82 ) / 410

GCD(5, 82) = 410 / 410

GCD(5, 82) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 985, 820, 82, 194 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 985, 820, 82, 194

1. What is the GCD of 985, 820, 82, 194?

GCD of 985, 820, 82, 194 is 1


2. Where do I get the detailed procedure to find GCD of 985, 820, 82, 194?

You can find a detailed procedure to find GCD of 985, 820, 82, 194 on our page.


3. How to find GCD of 985, 820, 82, 194 on a calculator?

You can find the GCD of 985, 820, 82, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.