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 511, 162, 13, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 511, 162, 13, 301 is 1
GCD(511, 162, 13, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 511, 162, 13, 301 is 1
GCD(511, 162, 13, 301) = 1
Given Input numbers are 511, 162, 13, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
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
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 511, 162, 13, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 511, 162, 13, 301 is 1.
Therefore, GCD of numbers 511, 162, 13, 301 is 1
Given Input Data is 511, 162, 13, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 511 is 7 x 73
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 13 is 13
Prime Factorization of 301 is 7 x 43
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(511, 162) = 82782
GCD(511, 162) = ( 511 x 162 ) / 82782
GCD(511, 162) = 82782 / 82782
GCD(511, 162) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 511, 162, 13, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 511, 162, 13, 301?
GCD of 511, 162, 13, 301 is 1
2. Where do I get the detailed procedure to find GCD of 511, 162, 13, 301?
You can find a detailed procedure to find GCD of 511, 162, 13, 301 on our page.
3. How to find GCD of 511, 162, 13, 301 on a calculator?
You can find the GCD of 511, 162, 13, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.