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, 832, 43, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 832, 43, 634 is 1
GCD(225, 832, 43, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 832, 43, 634 is 1
GCD(225, 832, 43, 634) = 1
Given Input numbers are 225, 832, 43, 634
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 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 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 225, 832, 43, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 832, 43, 634 is 1.
Therefore, GCD of numbers 225, 832, 43, 634 is 1
Given Input Data is 225, 832, 43, 634
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 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 43 is 43
Prime Factorization of 634 is 2 x 317
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, 832) = 187200
GCD(225, 832) = ( 225 x 832 ) / 187200
GCD(225, 832) = 187200 / 187200
GCD(225, 832) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 225, 832, 43, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 832, 43, 634?
GCD of 225, 832, 43, 634 is 1
2. Where do I get the detailed procedure to find GCD of 225, 832, 43, 634?
You can find a detailed procedure to find GCD of 225, 832, 43, 634 on our page.
3. How to find GCD of 225, 832, 43, 634 on a calculator?
You can find the GCD of 225, 832, 43, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.