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 225, 160, 590, 832 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 160, 590, 832 is 1
GCD(225, 160, 590, 832) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 160, 590, 832 is 1
GCD(225, 160, 590, 832) = 1
Given Input numbers are 225, 160, 590, 832
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Greatest Common Divisior
We found the divisors of 225, 160, 590, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 160, 590, 832 is 1.
Therefore, GCD of numbers 225, 160, 590, 832 is 1
Given Input Data is 225, 160, 590, 832
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
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(225, 160) = 7200
GCD(225, 160) = ( 225 x 160 ) / 7200
GCD(225, 160) = 36000 / 7200
GCD(225, 160) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 590) = 590
GCD(5, 590) = ( 5 x 590 ) / 590
GCD(5, 590) = 2950 / 590
GCD(5, 590) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 832) = 4160
GCD(5, 832) = ( 5 x 832 ) / 4160
GCD(5, 832) = 4160 / 4160
GCD(5, 832) = 1
GCD of 225, 160, 590, 832 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 160, 590, 832?
GCD of 225, 160, 590, 832 is 1
2. Where do I get the detailed procedure to find GCD of 225, 160, 590, 832?
You can find a detailed procedure to find GCD of 225, 160, 590, 832 on our page.
3. How to find GCD of 225, 160, 590, 832 on a calculator?
You can find the GCD of 225, 160, 590, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.