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 229, 966, 220, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 229, 966, 220, 472 is 1
GCD(229, 966, 220, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 229, 966, 220, 472 is 1
GCD(229, 966, 220, 472) = 1
Given Input numbers are 229, 966, 220, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 229, 966, 220, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 966, 220, 472 is 1.
Therefore, GCD of numbers 229, 966, 220, 472 is 1
Given Input Data is 229, 966, 220, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 229 is 229
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(229, 966) = 221214
GCD(229, 966) = ( 229 x 966 ) / 221214
GCD(229, 966) = 221214 / 221214
GCD(229, 966) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 229, 966, 220, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 229, 966, 220, 472?
GCD of 229, 966, 220, 472 is 1
2. Where do I get the detailed procedure to find GCD of 229, 966, 220, 472?
You can find a detailed procedure to find GCD of 229, 966, 220, 472 on our page.
3. How to find GCD of 229, 966, 220, 472 on a calculator?
You can find the GCD of 229, 966, 220, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.