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, 925, 30, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 925, 30, 655 is 1
GCD(162, 925, 30, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 925, 30, 655 is 1
GCD(162, 925, 30, 655) = 1
Given Input numbers are 162, 925, 30, 655
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 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 162, 925, 30, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 925, 30, 655 is 1.
Therefore, GCD of numbers 162, 925, 30, 655 is 1
Given Input Data is 162, 925, 30, 655
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 925 is 5 x 5 x 37
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 655 is 5 x 131
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, 925) = 149850
GCD(162, 925) = ( 162 x 925 ) / 149850
GCD(162, 925) = 149850 / 149850
GCD(162, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 162, 925, 30, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 925, 30, 655?
GCD of 162, 925, 30, 655 is 1
2. Where do I get the detailed procedure to find GCD of 162, 925, 30, 655?
You can find a detailed procedure to find GCD of 162, 925, 30, 655 on our page.
3. How to find GCD of 162, 925, 30, 655 on a calculator?
You can find the GCD of 162, 925, 30, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.