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 23, 920, 221, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 920, 221, 161 is 1
GCD(23, 920, 221, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 920, 221, 161 is 1
GCD(23, 920, 221, 161) = 1
Given Input numbers are 23, 920, 221, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 23, 920, 221, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 920, 221, 161 is 1.
Therefore, GCD of numbers 23, 920, 221, 161 is 1
Given Input Data is 23, 920, 221, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 221 is 13 x 17
Prime Factorization of 161 is 7 x 23
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(23, 920) = 920
GCD(23, 920) = ( 23 x 920 ) / 920
GCD(23, 920) = 21160 / 920
GCD(23, 920) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 221) = 5083
GCD(23, 221) = ( 23 x 221 ) / 5083
GCD(23, 221) = 5083 / 5083
GCD(23, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 23, 920, 221, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 920, 221, 161?
GCD of 23, 920, 221, 161 is 1
2. Where do I get the detailed procedure to find GCD of 23, 920, 221, 161?
You can find a detailed procedure to find GCD of 23, 920, 221, 161 on our page.
3. How to find GCD of 23, 920, 221, 161 on a calculator?
You can find the GCD of 23, 920, 221, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.