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 536, 817, 60, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 817, 60, 111 is 1
GCD(536, 817, 60, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 817, 60, 111 is 1
GCD(536, 817, 60, 111) = 1
Given Input numbers are 536, 817, 60, 111
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 536, 817, 60, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 817, 60, 111 is 1.
Therefore, GCD of numbers 536, 817, 60, 111 is 1
Given Input Data is 536, 817, 60, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 817 is 19 x 43
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 111 is 3 x 37
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(536, 817) = 437912
GCD(536, 817) = ( 536 x 817 ) / 437912
GCD(536, 817) = 437912 / 437912
GCD(536, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 536, 817, 60, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 817, 60, 111?
GCD of 536, 817, 60, 111 is 1
2. Where do I get the detailed procedure to find GCD of 536, 817, 60, 111?
You can find a detailed procedure to find GCD of 536, 817, 60, 111 on our page.
3. How to find GCD of 536, 817, 60, 111 on a calculator?
You can find the GCD of 536, 817, 60, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.