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, 518, 600, 451 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 518, 600, 451 is 1
GCD(25, 518, 600, 451) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 518, 600, 451 is 1
GCD(25, 518, 600, 451) = 1
Given Input numbers are 25, 518, 600, 451
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 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Greatest Common Divisior
We found the divisors of 25, 518, 600, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 518, 600, 451 is 1.
Therefore, GCD of numbers 25, 518, 600, 451 is 1
Given Input Data is 25, 518, 600, 451
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 451 is 11 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(25, 518) = 12950
GCD(25, 518) = ( 25 x 518 ) / 12950
GCD(25, 518) = 12950 / 12950
GCD(25, 518) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 451) = 451
GCD(1, 451) = ( 1 x 451 ) / 451
GCD(1, 451) = 451 / 451
GCD(1, 451) = 1
GCD of 25, 518, 600, 451 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 518, 600, 451?
GCD of 25, 518, 600, 451 is 1
2. Where do I get the detailed procedure to find GCD of 25, 518, 600, 451?
You can find a detailed procedure to find GCD of 25, 518, 600, 451 on our page.
3. How to find GCD of 25, 518, 600, 451 on a calculator?
You can find the GCD of 25, 518, 600, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.