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 468, 637, 413, 300 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 637, 413, 300 is 1
GCD(468, 637, 413, 300) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 637, 413, 300 is 1
GCD(468, 637, 413, 300) = 1
Given Input numbers are 468, 637, 413, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 468, 637, 413, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 637, 413, 300 is 1.
Therefore, GCD of numbers 468, 637, 413, 300 is 1
Given Input Data is 468, 637, 413, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 413 is 7 x 59
Prime Factorization of 300 is 2 x 2 x 3 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(468, 637) = 22932
GCD(468, 637) = ( 468 x 637 ) / 22932
GCD(468, 637) = 298116 / 22932
GCD(468, 637) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 413) = 5369
GCD(13, 413) = ( 13 x 413 ) / 5369
GCD(13, 413) = 5369 / 5369
GCD(13, 413) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
GCD of 468, 637, 413, 300 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 637, 413, 300?
GCD of 468, 637, 413, 300 is 1
2. Where do I get the detailed procedure to find GCD of 468, 637, 413, 300?
You can find a detailed procedure to find GCD of 468, 637, 413, 300 on our page.
3. How to find GCD of 468, 637, 413, 300 on a calculator?
You can find the GCD of 468, 637, 413, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.