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 58, 925, 432, 656 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 925, 432, 656 is 1
GCD(58, 925, 432, 656) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 925, 432, 656 is 1
GCD(58, 925, 432, 656) = 1
Given Input numbers are 58, 925, 432, 656
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Greatest Common Divisior
We found the divisors of 58, 925, 432, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 925, 432, 656 is 1.
Therefore, GCD of numbers 58, 925, 432, 656 is 1
Given Input Data is 58, 925, 432, 656
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
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(58, 925) = 53650
GCD(58, 925) = ( 58 x 925 ) / 53650
GCD(58, 925) = 53650 / 53650
GCD(58, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
GCD of 58, 925, 432, 656 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 925, 432, 656?
GCD of 58, 925, 432, 656 is 1
2. Where do I get the detailed procedure to find GCD of 58, 925, 432, 656?
You can find a detailed procedure to find GCD of 58, 925, 432, 656 on our page.
3. How to find GCD of 58, 925, 432, 656 on a calculator?
You can find the GCD of 58, 925, 432, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.