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 21, 963, 446, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 963, 446, 352 is 1
GCD(21, 963, 446, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 963, 446, 352 is 1
GCD(21, 963, 446, 352) = 1
Given Input numbers are 21, 963, 446, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 21, 963, 446, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 963, 446, 352 is 1.
Therefore, GCD of numbers 21, 963, 446, 352 is 1
Given Input Data is 21, 963, 446, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 446 is 2 x 223
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(21, 963) = 6741
GCD(21, 963) = ( 21 x 963 ) / 6741
GCD(21, 963) = 20223 / 6741
GCD(21, 963) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 446) = 1338
GCD(3, 446) = ( 3 x 446 ) / 1338
GCD(3, 446) = 1338 / 1338
GCD(3, 446) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 21, 963, 446, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 963, 446, 352?
GCD of 21, 963, 446, 352 is 1
2. Where do I get the detailed procedure to find GCD of 21, 963, 446, 352?
You can find a detailed procedure to find GCD of 21, 963, 446, 352 on our page.
3. How to find GCD of 21, 963, 446, 352 on a calculator?
You can find the GCD of 21, 963, 446, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.