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 832, 450, 75, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 450, 75, 225 is 1
GCD(832, 450, 75, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 450, 75, 225 is 1
GCD(832, 450, 75, 225) = 1
Given Input numbers are 832, 450, 75, 225
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
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
Greatest Common Divisior
We found the divisors of 832, 450, 75, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 450, 75, 225 is 1.
Therefore, GCD of numbers 832, 450, 75, 225 is 1
Given Input Data is 832, 450, 75, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 225 is 3 x 3 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(832, 450) = 187200
GCD(832, 450) = ( 832 x 450 ) / 187200
GCD(832, 450) = 374400 / 187200
GCD(832, 450) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 832, 450, 75, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 450, 75, 225?
GCD of 832, 450, 75, 225 is 1
2. Where do I get the detailed procedure to find GCD of 832, 450, 75, 225?
You can find a detailed procedure to find GCD of 832, 450, 75, 225 on our page.
3. How to find GCD of 832, 450, 75, 225 on a calculator?
You can find the GCD of 832, 450, 75, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.