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 822, 631, 60, 609 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 631, 60, 609 is 1
GCD(822, 631, 60, 609) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 631, 60, 609 is 1
GCD(822, 631, 60, 609) = 1
Given Input numbers are 822, 631, 60, 609
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Greatest Common Divisior
We found the divisors of 822, 631, 60, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 631, 60, 609 is 1.
Therefore, GCD of numbers 822, 631, 60, 609 is 1
Given Input Data is 822, 631, 60, 609
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 631 is 631
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 609 is 3 x 7 x 29
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(822, 631) = 518682
GCD(822, 631) = ( 822 x 631 ) / 518682
GCD(822, 631) = 518682 / 518682
GCD(822, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 1
GCD of 822, 631, 60, 609 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 631, 60, 609?
GCD of 822, 631, 60, 609 is 1
2. Where do I get the detailed procedure to find GCD of 822, 631, 60, 609?
You can find a detailed procedure to find GCD of 822, 631, 60, 609 on our page.
3. How to find GCD of 822, 631, 60, 609 on a calculator?
You can find the GCD of 822, 631, 60, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.