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 180, 888, 11, 445 i.e. 1 largest integer that divides all the numbers equally.
GCD of 180, 888, 11, 445 is 1
GCD(180, 888, 11, 445) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 888, 11, 445 is 1
GCD(180, 888, 11, 445) = 1
Given Input numbers are 180, 888, 11, 445
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Greatest Common Divisior
We found the divisors of 180, 888, 11, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 888, 11, 445 is 1.
Therefore, GCD of numbers 180, 888, 11, 445 is 1
Given Input Data is 180, 888, 11, 445
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 11 is 11
Prime Factorization of 445 is 5 x 89
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(180, 888) = 13320
GCD(180, 888) = ( 180 x 888 ) / 13320
GCD(180, 888) = 159840 / 13320
GCD(180, 888) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 11) = 132
GCD(12, 11) = ( 12 x 11 ) / 132
GCD(12, 11) = 132 / 132
GCD(12, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 445) = 445
GCD(1, 445) = ( 1 x 445 ) / 445
GCD(1, 445) = 445 / 445
GCD(1, 445) = 1
GCD of 180, 888, 11, 445 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 888, 11, 445?
GCD of 180, 888, 11, 445 is 1
2. Where do I get the detailed procedure to find GCD of 180, 888, 11, 445?
You can find a detailed procedure to find GCD of 180, 888, 11, 445 on our page.
3. How to find GCD of 180, 888, 11, 445 on a calculator?
You can find the GCD of 180, 888, 11, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.