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 450, 671, 66, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 671, 66, 390 is 1
GCD(450, 671, 66, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 671, 66, 390 is 1
GCD(450, 671, 66, 390) = 1
Given Input numbers are 450, 671, 66, 390
To find the GCD of numbers using factoring list out all the divisors of each number
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 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 450, 671, 66, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 671, 66, 390 is 1.
Therefore, GCD of numbers 450, 671, 66, 390 is 1
Given Input Data is 450, 671, 66, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 671 is 11 x 61
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 390 is 2 x 3 x 5 x 13
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(450, 671) = 301950
GCD(450, 671) = ( 450 x 671 ) / 301950
GCD(450, 671) = 301950 / 301950
GCD(450, 671) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 450, 671, 66, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 671, 66, 390?
GCD of 450, 671, 66, 390 is 1
2. Where do I get the detailed procedure to find GCD of 450, 671, 66, 390?
You can find a detailed procedure to find GCD of 450, 671, 66, 390 on our page.
3. How to find GCD of 450, 671, 66, 390 on a calculator?
You can find the GCD of 450, 671, 66, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.