GCD of 72, 90, 89 Calculator
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, 90, 89 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 90, 89 is 1
GCD(72, 90, 89) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 90, 89 is 1
GCD(72, 90, 89) = 1
GCDof 72,90,89 is 1
Given Input numbers are 72, 90, 89
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 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Greatest Common Divisior
We found the divisors of 72, 90, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 90, 89 is 1.
Therefore, GCD of numbers 72, 90, 89 is 1
Given Input Data is 72, 90, 89
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 90 is 2 x 3 x 3 x 5
Prime Factorization of 89 is 89
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 72, 90, 89 using LCM Formula
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, 90) = 360
GCD(72, 90) = ( 72 x 90 ) / 360
GCD(72, 90) = 6480 / 360
GCD(72, 90) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 89) = 1602
GCD(18, 89) = ( 18 x 89 ) / 1602
GCD(18, 89) = 1602 / 1602
GCD(18, 89) = 1
GCD of 72, 90, 89 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 72, 90, 89
1. What is the GCD of 72, 90, 89?
GCD of 72, 90, 89 is 1
2. Where do I get the detailed procedure to find GCD of 72, 90, 89?
You can find a detailed procedure to find GCD of 72, 90, 89 on our page.
3. How to find GCD of 72, 90, 89 on a calculator?
You can find the GCD of 72, 90, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.