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, 928, 574, 475 i.e. 1 largest integer that divides all the numbers equally.
GCD of 925, 928, 574, 475 is 1
GCD(925, 928, 574, 475) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 925, 928, 574, 475 is 1
GCD(925, 928, 574, 475) = 1
Given Input numbers are 925, 928, 574, 475
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 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Greatest Common Divisior
We found the divisors of 925, 928, 574, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 928, 574, 475 is 1.
Therefore, GCD of numbers 925, 928, 574, 475 is 1
Given Input Data is 925, 928, 574, 475
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 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 475 is 5 x 5 x 19
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, 928) = 858400
GCD(925, 928) = ( 925 x 928 ) / 858400
GCD(925, 928) = 858400 / 858400
GCD(925, 928) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 475
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 475) = 475
GCD(1, 475) = ( 1 x 475 ) / 475
GCD(1, 475) = 475 / 475
GCD(1, 475) = 1
GCD of 925, 928, 574, 475 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 925, 928, 574, 475?
GCD of 925, 928, 574, 475 is 1
2. Where do I get the detailed procedure to find GCD of 925, 928, 574, 475?
You can find a detailed procedure to find GCD of 925, 928, 574, 475 on our page.
3. How to find GCD of 925, 928, 574, 475 on a calculator?
You can find the GCD of 925, 928, 574, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.