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 925, 185, 40, 452 i.e. 1 largest integer that divides all the numbers equally.
GCD of 925, 185, 40, 452 is 1
GCD(925, 185, 40, 452) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 925, 185, 40, 452 is 1
GCD(925, 185, 40, 452) = 1
Given Input numbers are 925, 185, 40, 452
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 925, 185, 40, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 185, 40, 452 is 1.
Therefore, GCD of numbers 925, 185, 40, 452 is 1
Given Input Data is 925, 185, 40, 452
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 185 is 5 x 37
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 452 is 2 x 2 x 113
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(925, 185) = 925
GCD(925, 185) = ( 925 x 185 ) / 925
GCD(925, 185) = 171125 / 925
GCD(925, 185) = 185
Step2:
Here we consider the GCD from the above i.e. 185 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(185, 40) = 1480
GCD(185, 40) = ( 185 x 40 ) / 1480
GCD(185, 40) = 7400 / 1480
GCD(185, 40) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 452) = 2260
GCD(5, 452) = ( 5 x 452 ) / 2260
GCD(5, 452) = 2260 / 2260
GCD(5, 452) = 1
GCD of 925, 185, 40, 452 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 925, 185, 40, 452?
GCD of 925, 185, 40, 452 is 1
2. Where do I get the detailed procedure to find GCD of 925, 185, 40, 452?
You can find a detailed procedure to find GCD of 925, 185, 40, 452 on our page.
3. How to find GCD of 925, 185, 40, 452 on a calculator?
You can find the GCD of 925, 185, 40, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.