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 663, 450, 67, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 450, 67, 555 is 1
GCD(663, 450, 67, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 450, 67, 555 is 1
GCD(663, 450, 67, 555) = 1
Given Input numbers are 663, 450, 67, 555
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 663, 450, 67, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 450, 67, 555 is 1.
Therefore, GCD of numbers 663, 450, 67, 555 is 1
Given Input Data is 663, 450, 67, 555
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 67 is 67
Prime Factorization of 555 is 3 x 5 x 37
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(663, 450) = 99450
GCD(663, 450) = ( 663 x 450 ) / 99450
GCD(663, 450) = 298350 / 99450
GCD(663, 450) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 67) = 201
GCD(3, 67) = ( 3 x 67 ) / 201
GCD(3, 67) = 201 / 201
GCD(3, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 555) = 555
GCD(1, 555) = ( 1 x 555 ) / 555
GCD(1, 555) = 555 / 555
GCD(1, 555) = 1
GCD of 663, 450, 67, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 450, 67, 555?
GCD of 663, 450, 67, 555 is 1
2. Where do I get the detailed procedure to find GCD of 663, 450, 67, 555?
You can find a detailed procedure to find GCD of 663, 450, 67, 555 on our page.
3. How to find GCD of 663, 450, 67, 555 on a calculator?
You can find the GCD of 663, 450, 67, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.