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 506, 850, 515, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 506, 850, 515, 162 is 1
GCD(506, 850, 515, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 506, 850, 515, 162 is 1
GCD(506, 850, 515, 162) = 1
Given Input numbers are 506, 850, 515, 162
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 506, 850, 515, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 850, 515, 162 is 1.
Therefore, GCD of numbers 506, 850, 515, 162 is 1
Given Input Data is 506, 850, 515, 162
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 515 is 5 x 103
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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(506, 850) = 215050
GCD(506, 850) = ( 506 x 850 ) / 215050
GCD(506, 850) = 430100 / 215050
GCD(506, 850) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 515
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 515) = 1030
GCD(2, 515) = ( 2 x 515 ) / 1030
GCD(2, 515) = 1030 / 1030
GCD(2, 515) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 506, 850, 515, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 506, 850, 515, 162?
GCD of 506, 850, 515, 162 is 1
2. Where do I get the detailed procedure to find GCD of 506, 850, 515, 162?
You can find a detailed procedure to find GCD of 506, 850, 515, 162 on our page.
3. How to find GCD of 506, 850, 515, 162 on a calculator?
You can find the GCD of 506, 850, 515, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.