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 725, 652, 47, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 652, 47, 430 is 1
GCD(725, 652, 47, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 652, 47, 430 is 1
GCD(725, 652, 47, 430) = 1
Given Input numbers are 725, 652, 47, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 725, 652, 47, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 652, 47, 430 is 1.
Therefore, GCD of numbers 725, 652, 47, 430 is 1
Given Input Data is 725, 652, 47, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 47 is 47
Prime Factorization of 430 is 2 x 5 x 43
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(725, 652) = 472700
GCD(725, 652) = ( 725 x 652 ) / 472700
GCD(725, 652) = 472700 / 472700
GCD(725, 652) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 725, 652, 47, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 652, 47, 430?
GCD of 725, 652, 47, 430 is 1
2. Where do I get the detailed procedure to find GCD of 725, 652, 47, 430?
You can find a detailed procedure to find GCD of 725, 652, 47, 430 on our page.
3. How to find GCD of 725, 652, 47, 430 on a calculator?
You can find the GCD of 725, 652, 47, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.