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, 405, 734, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 405, 734, 250 is 1
GCD(162, 405, 734, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 405, 734, 250 is 1
GCD(162, 405, 734, 250) = 1
Given Input numbers are 162, 405, 734, 250
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 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 162, 405, 734, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 405, 734, 250 is 1.
Therefore, GCD of numbers 162, 405, 734, 250 is 1
Given Input Data is 162, 405, 734, 250
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 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 734 is 2 x 367
Prime Factorization of 250 is 2 x 5 x 5 x 5
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, 405) = 810
GCD(162, 405) = ( 162 x 405 ) / 810
GCD(162, 405) = 65610 / 810
GCD(162, 405) = 81
Step2:
Here we consider the GCD from the above i.e. 81 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(81, 734) = 59454
GCD(81, 734) = ( 81 x 734 ) / 59454
GCD(81, 734) = 59454 / 59454
GCD(81, 734) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
GCD(1, 250) = 250 / 250
GCD(1, 250) = 1
GCD of 162, 405, 734, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 405, 734, 250?
GCD of 162, 405, 734, 250 is 1
2. Where do I get the detailed procedure to find GCD of 162, 405, 734, 250?
You can find a detailed procedure to find GCD of 162, 405, 734, 250 on our page.
3. How to find GCD of 162, 405, 734, 250 on a calculator?
You can find the GCD of 162, 405, 734, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.