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 72, 163, 122, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 163, 122, 114 is 1
GCD(72, 163, 122, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 163, 122, 114 is 1
GCD(72, 163, 122, 114) = 1
Given Input numbers are 72, 163, 122, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 72, 163, 122, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 163, 122, 114 is 1.
Therefore, GCD of numbers 72, 163, 122, 114 is 1
Given Input Data is 72, 163, 122, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 163 is 163
Prime Factorization of 122 is 2 x 61
Prime Factorization of 114 is 2 x 3 x 19
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(72, 163) = 11736
GCD(72, 163) = ( 72 x 163 ) / 11736
GCD(72, 163) = 11736 / 11736
GCD(72, 163) = 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 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 72, 163, 122, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 163, 122, 114?
GCD of 72, 163, 122, 114 is 1
2. Where do I get the detailed procedure to find GCD of 72, 163, 122, 114?
You can find a detailed procedure to find GCD of 72, 163, 122, 114 on our page.
3. How to find GCD of 72, 163, 122, 114 on a calculator?
You can find the GCD of 72, 163, 122, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.