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, 377, 222, 181 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 377, 222, 181 is 1
GCD(450, 377, 222, 181) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 377, 222, 181 is 1
GCD(450, 377, 222, 181) = 1
Given Input numbers are 450, 377, 222, 181
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 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
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 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Greatest Common Divisior
We found the divisors of 450, 377, 222, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 377, 222, 181 is 1.
Therefore, GCD of numbers 450, 377, 222, 181 is 1
Given Input Data is 450, 377, 222, 181
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 377 is 13 x 29
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 181 is 181
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, 377) = 169650
GCD(450, 377) = ( 450 x 377 ) / 169650
GCD(450, 377) = 169650 / 169650
GCD(450, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 181) = 181
GCD(1, 181) = ( 1 x 181 ) / 181
GCD(1, 181) = 181 / 181
GCD(1, 181) = 1
GCD of 450, 377, 222, 181 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 377, 222, 181?
GCD of 450, 377, 222, 181 is 1
2. Where do I get the detailed procedure to find GCD of 450, 377, 222, 181?
You can find a detailed procedure to find GCD of 450, 377, 222, 181 on our page.
3. How to find GCD of 450, 377, 222, 181 on a calculator?
You can find the GCD of 450, 377, 222, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.