GCD of 23, 22, 16, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 23, 22, 16, 72 quickly. Get the easiest ways to solve the greatest common divisor of 23, 22, 16, 72 i.e 1 in different methods as follows.
Given Input numbers are 23, 22, 16, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 23 :
The positive integer divisors of 23 that completely divides 23 are.
1, 23
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
Divisors of 16 :
The positive integer divisors of 16 that completely divides 16 are.
1, 2, 4, 8, 16
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD of numbers is the greatest common divisor
So, the GCD (23, 22, 16, 72) = 1.
Given numbers are 23, 22, 16, 72
The list of prime factors of all numbers are
Prime factors of 23 are 23
Prime factors of 22 are 2 x 11
Prime factors of 16 are 2 x 2 x 2 x 2
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 23, 22, 16, 72 using LCM Formula
Given numbers are 23, 22, 16, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(23, 22) = 506
GCD(23, 22) = ( 23 x 22 ) / 506
= 23 / 22
= 23
Step2:
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
= 1 / 16
= 1
Step3:
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
= 1 / 72
= 1
So, Greatest Common Divisor of 23, 22, 16, 72 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 23, 22, 16, 72
Given numbers are 23, 22, 16, 72
The greatest common divisor of numbers 23, 22, 16, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 23, 22, 16, 72 is 1.
FAQs on GCD of 23, 22, 16, 72 Calculator
1. What is the GCD of 23, 22, 16, 72?
GCD of given numbers 23, 22, 16, 72 is 1
2. How to calculate the greatest common divisor of 23, 22, 16, 72?
We can find the highest common divisor of 23, 22, 16, 72 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 23, 22, 16, 72 i.e 1.
3. How can I use the GCD of 23, 22, 16, 72Calculator?
Out the numbers 23, 22, 16, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.