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 144, 220, 943, 227 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 220, 943, 227 is 1
GCD(144, 220, 943, 227) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 220, 943, 227 is 1
GCD(144, 220, 943, 227) = 1
Given Input numbers are 144, 220, 943, 227
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Greatest Common Divisior
We found the divisors of 144, 220, 943, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 220, 943, 227 is 1.
Therefore, GCD of numbers 144, 220, 943, 227 is 1
Given Input Data is 144, 220, 943, 227
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 943 is 23 x 41
Prime Factorization of 227 is 227
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(144, 220) = 7920
GCD(144, 220) = ( 144 x 220 ) / 7920
GCD(144, 220) = 31680 / 7920
GCD(144, 220) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 943) = 3772
GCD(4, 943) = ( 4 x 943 ) / 3772
GCD(4, 943) = 3772 / 3772
GCD(4, 943) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 227) = 227
GCD(1, 227) = ( 1 x 227 ) / 227
GCD(1, 227) = 227 / 227
GCD(1, 227) = 1
GCD of 144, 220, 943, 227 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 220, 943, 227?
GCD of 144, 220, 943, 227 is 1
2. Where do I get the detailed procedure to find GCD of 144, 220, 943, 227?
You can find a detailed procedure to find GCD of 144, 220, 943, 227 on our page.
3. How to find GCD of 144, 220, 943, 227 on a calculator?
You can find the GCD of 144, 220, 943, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.