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 29, 488, 822, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 488, 822, 625 is 1
GCD(29, 488, 822, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 488, 822, 625 is 1
GCD(29, 488, 822, 625) = 1
Given Input numbers are 29, 488, 822, 625
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 29, 488, 822, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 488, 822, 625 is 1.
Therefore, GCD of numbers 29, 488, 822, 625 is 1
Given Input Data is 29, 488, 822, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 625 is 5 x 5 x 5 x 5
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(29, 488) = 14152
GCD(29, 488) = ( 29 x 488 ) / 14152
GCD(29, 488) = 14152 / 14152
GCD(29, 488) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 29, 488, 822, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 488, 822, 625?
GCD of 29, 488, 822, 625 is 1
2. Where do I get the detailed procedure to find GCD of 29, 488, 822, 625?
You can find a detailed procedure to find GCD of 29, 488, 822, 625 on our page.
3. How to find GCD of 29, 488, 822, 625 on a calculator?
You can find the GCD of 29, 488, 822, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.