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 162, 731, 150, 259 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 731, 150, 259 is 1
GCD(162, 731, 150, 259) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 731, 150, 259 is 1
GCD(162, 731, 150, 259) = 1
Given Input numbers are 162, 731, 150, 259
To find the GCD of numbers using factoring list out all the divisors of each number
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 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Greatest Common Divisior
We found the divisors of 162, 731, 150, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 731, 150, 259 is 1.
Therefore, GCD of numbers 162, 731, 150, 259 is 1
Given Input Data is 162, 731, 150, 259
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 731 is 17 x 43
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 259 is 7 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(162, 731) = 118422
GCD(162, 731) = ( 162 x 731 ) / 118422
GCD(162, 731) = 118422 / 118422
GCD(162, 731) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 259) = 259
GCD(1, 259) = ( 1 x 259 ) / 259
GCD(1, 259) = 259 / 259
GCD(1, 259) = 1
GCD of 162, 731, 150, 259 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 731, 150, 259?
GCD of 162, 731, 150, 259 is 1
2. Where do I get the detailed procedure to find GCD of 162, 731, 150, 259?
You can find a detailed procedure to find GCD of 162, 731, 150, 259 on our page.
3. How to find GCD of 162, 731, 150, 259 on a calculator?
You can find the GCD of 162, 731, 150, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.