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, 720, 122, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 720, 122, 168 is 1
GCD(23, 720, 122, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 720, 122, 168 is 1
GCD(23, 720, 122, 168) = 1
Given Input numbers are 23, 720, 122, 168
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 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 23, 720, 122, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 720, 122, 168 is 1.
Therefore, GCD of numbers 23, 720, 122, 168 is 1
Given Input Data is 23, 720, 122, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 122 is 2 x 61
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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, 720) = 16560
GCD(23, 720) = ( 23 x 720 ) / 16560
GCD(23, 720) = 16560 / 16560
GCD(23, 720) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 23, 720, 122, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 720, 122, 168?
GCD of 23, 720, 122, 168 is 1
2. Where do I get the detailed procedure to find GCD of 23, 720, 122, 168?
You can find a detailed procedure to find GCD of 23, 720, 122, 168 on our page.
3. How to find GCD of 23, 720, 122, 168 on a calculator?
You can find the GCD of 23, 720, 122, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.