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 16, 563, 221, 606 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 563, 221, 606 is 1
GCD(16, 563, 221, 606) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 563, 221, 606 is 1
GCD(16, 563, 221, 606) = 1
Given Input numbers are 16, 563, 221, 606
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Greatest Common Divisior
We found the divisors of 16, 563, 221, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 563, 221, 606 is 1.
Therefore, GCD of numbers 16, 563, 221, 606 is 1
Given Input Data is 16, 563, 221, 606
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 563 is 563
Prime Factorization of 221 is 13 x 17
Prime Factorization of 606 is 2 x 3 x 101
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(16, 563) = 9008
GCD(16, 563) = ( 16 x 563 ) / 9008
GCD(16, 563) = 9008 / 9008
GCD(16, 563) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 606) = 606
GCD(1, 606) = ( 1 x 606 ) / 606
GCD(1, 606) = 606 / 606
GCD(1, 606) = 1
GCD of 16, 563, 221, 606 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 563, 221, 606?
GCD of 16, 563, 221, 606 is 1
2. Where do I get the detailed procedure to find GCD of 16, 563, 221, 606?
You can find a detailed procedure to find GCD of 16, 563, 221, 606 on our page.
3. How to find GCD of 16, 563, 221, 606 on a calculator?
You can find the GCD of 16, 563, 221, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.