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 59, 90, 16 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 90, 16 is 1
GCD(59, 90, 16) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 90, 16 is 1
GCD(59, 90, 16) = 1
Given Input numbers are 59, 90, 16
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
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 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Greatest Common Divisior
We found the divisors of 59, 90, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 90, 16 is 1.
Therefore, GCD of numbers 59, 90, 16 is 1
Given Input Data is 59, 90, 16
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 16 is 2 x 2 x 2 x 2
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(59, 90) = 5310
GCD(59, 90) = ( 59 x 90 ) / 5310
GCD(59, 90) = 5310 / 5310
GCD(59, 90) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
GCD of 59, 90, 16 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 90, 16?
GCD of 59, 90, 16 is 1
2. Where do I get the detailed procedure to find GCD of 59, 90, 16?
You can find a detailed procedure to find GCD of 59, 90, 16 on our page.
3. How to find GCD of 59, 90, 16 on a calculator?
You can find the GCD of 59, 90, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.