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, 201, 91, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 201, 91, 963 is 1
GCD(821, 201, 91, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 201, 91, 963 is 1
GCD(821, 201, 91, 963) = 1
Given Input numbers are 821, 201, 91, 963
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 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 821, 201, 91, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 201, 91, 963 is 1.
Therefore, GCD of numbers 821, 201, 91, 963 is 1
Given Input Data is 821, 201, 91, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 201 is 3 x 67
Prime Factorization of 91 is 7 x 13
Prime Factorization of 963 is 3 x 3 x 107
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, 201) = 165021
GCD(821, 201) = ( 821 x 201 ) / 165021
GCD(821, 201) = 165021 / 165021
GCD(821, 201) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
GCD of 821, 201, 91, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 201, 91, 963?
GCD of 821, 201, 91, 963 is 1
2. Where do I get the detailed procedure to find GCD of 821, 201, 91, 963?
You can find a detailed procedure to find GCD of 821, 201, 91, 963 on our page.
3. How to find GCD of 821, 201, 91, 963 on a calculator?
You can find the GCD of 821, 201, 91, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.