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 222, 480, 27, 664 i.e. 1 largest integer that divides all the numbers equally.
GCD of 222, 480, 27, 664 is 1
GCD(222, 480, 27, 664) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 222, 480, 27, 664 is 1
GCD(222, 480, 27, 664) = 1
Given Input numbers are 222, 480, 27, 664
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 222, 480, 27, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 480, 27, 664 is 1.
Therefore, GCD of numbers 222, 480, 27, 664 is 1
Given Input Data is 222, 480, 27, 664
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 664 is 2 x 2 x 2 x 83
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(222, 480) = 17760
GCD(222, 480) = ( 222 x 480 ) / 17760
GCD(222, 480) = 106560 / 17760
GCD(222, 480) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 27) = 54
GCD(6, 27) = ( 6 x 27 ) / 54
GCD(6, 27) = 162 / 54
GCD(6, 27) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 664) = 1992
GCD(3, 664) = ( 3 x 664 ) / 1992
GCD(3, 664) = 1992 / 1992
GCD(3, 664) = 1
GCD of 222, 480, 27, 664 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 222, 480, 27, 664?
GCD of 222, 480, 27, 664 is 1
2. Where do I get the detailed procedure to find GCD of 222, 480, 27, 664?
You can find a detailed procedure to find GCD of 222, 480, 27, 664 on our page.
3. How to find GCD of 222, 480, 27, 664 on a calculator?
You can find the GCD of 222, 480, 27, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.