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 numbers 861, 203, 989, 600 is 1
GCD(861, 203, 989, 600) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.