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 220, 634, 23, 471 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 634, 23, 471 is 1
GCD(220, 634, 23, 471) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 634, 23, 471 is 1
GCD(220, 634, 23, 471) = 1
Given Input numbers are 220, 634, 23, 471
To find the GCD of numbers using factoring list out all the divisors of each number
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 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Greatest Common Divisior
We found the divisors of 220, 634, 23, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 634, 23, 471 is 1.
Therefore, GCD of numbers 220, 634, 23, 471 is 1
Given Input Data is 220, 634, 23, 471
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 634 is 2 x 317
Prime Factorization of 23 is 23
Prime Factorization of 471 is 3 x 157
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(220, 634) = 69740
GCD(220, 634) = ( 220 x 634 ) / 69740
GCD(220, 634) = 139480 / 69740
GCD(220, 634) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 23) = 46
GCD(2, 23) = ( 2 x 23 ) / 46
GCD(2, 23) = 46 / 46
GCD(2, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
GCD of 220, 634, 23, 471 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 634, 23, 471?
GCD of 220, 634, 23, 471 is 1
2. Where do I get the detailed procedure to find GCD of 220, 634, 23, 471?
You can find a detailed procedure to find GCD of 220, 634, 23, 471 on our page.
3. How to find GCD of 220, 634, 23, 471 on a calculator?
You can find the GCD of 220, 634, 23, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.