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, 376, 599, 522 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 376, 599, 522 is 1
GCD(25, 376, 599, 522) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 376, 599, 522 is 1
GCD(25, 376, 599, 522) = 1
Given Input numbers are 25, 376, 599, 522
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 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Greatest Common Divisior
We found the divisors of 25, 376, 599, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 376, 599, 522 is 1.
Therefore, GCD of numbers 25, 376, 599, 522 is 1
Given Input Data is 25, 376, 599, 522
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 599 is 599
Prime Factorization of 522 is 2 x 3 x 3 x 29
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, 376) = 9400
GCD(25, 376) = ( 25 x 376 ) / 9400
GCD(25, 376) = 9400 / 9400
GCD(25, 376) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 599) = 599
GCD(1, 599) = ( 1 x 599 ) / 599
GCD(1, 599) = 599 / 599
GCD(1, 599) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
GCD of 25, 376, 599, 522 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 376, 599, 522?
GCD of 25, 376, 599, 522 is 1
2. Where do I get the detailed procedure to find GCD of 25, 376, 599, 522?
You can find a detailed procedure to find GCD of 25, 376, 599, 522 on our page.
3. How to find GCD of 25, 376, 599, 522 on a calculator?
You can find the GCD of 25, 376, 599, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.