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 25, 752, 629, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 752, 629, 730 is 1
GCD(25, 752, 629, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 752, 629, 730 is 1
GCD(25, 752, 629, 730) = 1
Given Input numbers are 25, 752, 629, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 25, 752, 629, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 752, 629, 730 is 1.
Therefore, GCD of numbers 25, 752, 629, 730 is 1
Given Input Data is 25, 752, 629, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 629 is 17 x 37
Prime Factorization of 730 is 2 x 5 x 73
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(25, 752) = 18800
GCD(25, 752) = ( 25 x 752 ) / 18800
GCD(25, 752) = 18800 / 18800
GCD(25, 752) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 25, 752, 629, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 752, 629, 730?
GCD of 25, 752, 629, 730 is 1
2. Where do I get the detailed procedure to find GCD of 25, 752, 629, 730?
You can find a detailed procedure to find GCD of 25, 752, 629, 730 on our page.
3. How to find GCD of 25, 752, 629, 730 on a calculator?
You can find the GCD of 25, 752, 629, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.