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, 500, 359, 515 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 500, 359, 515 is 1
GCD(536, 500, 359, 515) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 500, 359, 515 is 1
GCD(536, 500, 359, 515) = 1
Given Input numbers are 536, 500, 359, 515
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 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Greatest Common Divisior
We found the divisors of 536, 500, 359, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 500, 359, 515 is 1.
Therefore, GCD of numbers 536, 500, 359, 515 is 1
Given Input Data is 536, 500, 359, 515
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 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 359 is 359
Prime Factorization of 515 is 5 x 103
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, 500) = 67000
GCD(536, 500) = ( 536 x 500 ) / 67000
GCD(536, 500) = 268000 / 67000
GCD(536, 500) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 359) = 1436
GCD(4, 359) = ( 4 x 359 ) / 1436
GCD(4, 359) = 1436 / 1436
GCD(4, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 515
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 515) = 515
GCD(1, 515) = ( 1 x 515 ) / 515
GCD(1, 515) = 515 / 515
GCD(1, 515) = 1
GCD of 536, 500, 359, 515 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 500, 359, 515?
GCD of 536, 500, 359, 515 is 1
2. Where do I get the detailed procedure to find GCD of 536, 500, 359, 515?
You can find a detailed procedure to find GCD of 536, 500, 359, 515 on our page.
3. How to find GCD of 536, 500, 359, 515 on a calculator?
You can find the GCD of 536, 500, 359, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.