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, 150, 189, 673 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 150, 189, 673 is 1
GCD(663, 150, 189, 673) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 150, 189, 673 is 1
GCD(663, 150, 189, 673) = 1
Given Input numbers are 663, 150, 189, 673
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 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Greatest Common Divisior
We found the divisors of 663, 150, 189, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 150, 189, 673 is 1.
Therefore, GCD of numbers 663, 150, 189, 673 is 1
Given Input Data is 663, 150, 189, 673
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 150 is 2 x 3 x 5 x 5
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 673 is 673
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, 150) = 33150
GCD(663, 150) = ( 663 x 150 ) / 33150
GCD(663, 150) = 99450 / 33150
GCD(663, 150) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
GCD(3, 189) = 567 / 189
GCD(3, 189) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 673
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 673) = 2019
GCD(3, 673) = ( 3 x 673 ) / 2019
GCD(3, 673) = 2019 / 2019
GCD(3, 673) = 1
GCD of 663, 150, 189, 673 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 150, 189, 673?
GCD of 663, 150, 189, 673 is 1
2. Where do I get the detailed procedure to find GCD of 663, 150, 189, 673?
You can find a detailed procedure to find GCD of 663, 150, 189, 673 on our page.
3. How to find GCD of 663, 150, 189, 673 on a calculator?
You can find the GCD of 663, 150, 189, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.