GCD of 861, 203, 989, 600 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 861, 203, 989, 600 i.e. 1 largest integer that divides all the numbers equally.

GCD of 861, 203, 989, 600 is 1

GCD(861, 203, 989, 600) = 1

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

GCD of

GCD of numbers 861, 203, 989, 600 is 1

GCD(861, 203, 989, 600) = 1

GCD of 861,203,989,600 Calculator

GCDof 861,203,989,600 is 1

Given Input numbers are 861, 203, 989, 600

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 861, 203, 989, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 203, 989, 600 is 1.

Therefore, GCD of numbers 861, 203, 989, 600 is 1

Finding GCD of 861, 203, 989, 600 using Prime Factorization

Given Input Data is 861, 203, 989, 600

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 203 is 7 x 29

Prime Factorization of 989 is 23 x 43

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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

Finding GCD of 861, 203, 989, 600 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(861, 203) = 24969

GCD(861, 203) = ( 861 x 203 ) / 24969

GCD(861, 203) = 174783 / 24969

GCD(861, 203) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 989

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

LCM(7, 989) = 6923

GCD(7, 989) = ( 7 x 989 ) / 6923

GCD(7, 989) = 6923 / 6923

GCD(7, 989) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 861, 203, 989, 600 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 861, 203, 989, 600

1. What is the GCD of 861, 203, 989, 600?

GCD of 861, 203, 989, 600 is 1


2. Where do I get the detailed procedure to find GCD of 861, 203, 989, 600?

You can find a detailed procedure to find GCD of 861, 203, 989, 600 on our page.


3. How to find GCD of 861, 203, 989, 600 on a calculator?

You can find the GCD of 861, 203, 989, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.