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 221, 944, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 944, 440 is 1
GCD(221, 944, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 944, 440 is 1
GCD(221, 944, 440) = 1
Given Input numbers are 221, 944, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 221, 944, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 944, 440 is 1.
Therefore, GCD of numbers 221, 944, 440 is 1
Given Input Data is 221, 944, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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(221, 944) = 208624
GCD(221, 944) = ( 221 x 944 ) / 208624
GCD(221, 944) = 208624 / 208624
GCD(221, 944) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 221, 944, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 944, 440?
GCD of 221, 944, 440 is 1
2. Where do I get the detailed procedure to find GCD of 221, 944, 440?
You can find a detailed procedure to find GCD of 221, 944, 440 on our page.
3. How to find GCD of 221, 944, 440 on a calculator?
You can find the GCD of 221, 944, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.