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 221, 645, 73, 164 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 645, 73, 164 is 1
GCD(221, 645, 73, 164) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 645, 73, 164 is 1
GCD(221, 645, 73, 164) = 1
Given Input numbers are 221, 645, 73, 164
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Greatest Common Divisior
We found the divisors of 221, 645, 73, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 645, 73, 164 is 1.
Therefore, GCD of numbers 221, 645, 73, 164 is 1
Given Input Data is 221, 645, 73, 164
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 73 is 73
Prime Factorization of 164 is 2 x 2 x 41
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(221, 645) = 142545
GCD(221, 645) = ( 221 x 645 ) / 142545
GCD(221, 645) = 142545 / 142545
GCD(221, 645) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
GCD of 221, 645, 73, 164 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 645, 73, 164?
GCD of 221, 645, 73, 164 is 1
2. Where do I get the detailed procedure to find GCD of 221, 645, 73, 164?
You can find a detailed procedure to find GCD of 221, 645, 73, 164 on our page.
3. How to find GCD of 221, 645, 73, 164 on a calculator?
You can find the GCD of 221, 645, 73, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.