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 412, 961, 203, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 961, 203, 925 is 1
GCD(412, 961, 203, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 961, 203, 925 is 1
GCD(412, 961, 203, 925) = 1
Given Input numbers are 412, 961, 203, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 412, 961, 203, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 961, 203, 925 is 1.
Therefore, GCD of numbers 412, 961, 203, 925 is 1
Given Input Data is 412, 961, 203, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 961 is 31 x 31
Prime Factorization of 203 is 7 x 29
Prime Factorization of 925 is 5 x 5 x 37
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(412, 961) = 395932
GCD(412, 961) = ( 412 x 961 ) / 395932
GCD(412, 961) = 395932 / 395932
GCD(412, 961) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 412, 961, 203, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 961, 203, 925?
GCD of 412, 961, 203, 925 is 1
2. Where do I get the detailed procedure to find GCD of 412, 961, 203, 925?
You can find a detailed procedure to find GCD of 412, 961, 203, 925 on our page.
3. How to find GCD of 412, 961, 203, 925 on a calculator?
You can find the GCD of 412, 961, 203, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.