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 821, 708, 201, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 708, 201, 631 is 1
GCD(821, 708, 201, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 708, 201, 631 is 1
GCD(821, 708, 201, 631) = 1
Given Input numbers are 821, 708, 201, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 821, 708, 201, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 708, 201, 631 is 1.
Therefore, GCD of numbers 821, 708, 201, 631 is 1
Given Input Data is 821, 708, 201, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 201 is 3 x 67
Prime Factorization of 631 is 631
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(821, 708) = 581268
GCD(821, 708) = ( 821 x 708 ) / 581268
GCD(821, 708) = 581268 / 581268
GCD(821, 708) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 201) = 201
GCD(1, 201) = ( 1 x 201 ) / 201
GCD(1, 201) = 201 / 201
GCD(1, 201) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 821, 708, 201, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 708, 201, 631?
GCD of 821, 708, 201, 631 is 1
2. Where do I get the detailed procedure to find GCD of 821, 708, 201, 631?
You can find a detailed procedure to find GCD of 821, 708, 201, 631 on our page.
3. How to find GCD of 821, 708, 201, 631 on a calculator?
You can find the GCD of 821, 708, 201, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.