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 567, 636, 10, 459 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 636, 10, 459 is 1
GCD(567, 636, 10, 459) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 636, 10, 459 is 1
GCD(567, 636, 10, 459) = 1
Given Input numbers are 567, 636, 10, 459
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Greatest Common Divisior
We found the divisors of 567, 636, 10, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 636, 10, 459 is 1.
Therefore, GCD of numbers 567, 636, 10, 459 is 1
Given Input Data is 567, 636, 10, 459
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 10 is 2 x 5
Prime Factorization of 459 is 3 x 3 x 3 x 17
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(567, 636) = 120204
GCD(567, 636) = ( 567 x 636 ) / 120204
GCD(567, 636) = 360612 / 120204
GCD(567, 636) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 10) = 30
GCD(3, 10) = ( 3 x 10 ) / 30
GCD(3, 10) = 30 / 30
GCD(3, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
GCD of 567, 636, 10, 459 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 636, 10, 459?
GCD of 567, 636, 10, 459 is 1
2. Where do I get the detailed procedure to find GCD of 567, 636, 10, 459?
You can find a detailed procedure to find GCD of 567, 636, 10, 459 on our page.
3. How to find GCD of 567, 636, 10, 459 on a calculator?
You can find the GCD of 567, 636, 10, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.