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 454, 471, 22 i.e. 1 largest integer that divides all the numbers equally.
GCD of 454, 471, 22 is 1
GCD(454, 471, 22) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 454, 471, 22 is 1
GCD(454, 471, 22) = 1
Given Input numbers are 454, 471, 22
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Greatest Common Divisior
We found the divisors of 454, 471, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 471, 22 is 1.
Therefore, GCD of numbers 454, 471, 22 is 1
Given Input Data is 454, 471, 22
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 454 is 2 x 227
Prime Factorization of 471 is 3 x 157
Prime Factorization of 22 is 2 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(454, 471) = 213834
GCD(454, 471) = ( 454 x 471 ) / 213834
GCD(454, 471) = 213834 / 213834
GCD(454, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
GCD of 454, 471, 22 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 454, 471, 22?
GCD of 454, 471, 22 is 1
2. Where do I get the detailed procedure to find GCD of 454, 471, 22?
You can find a detailed procedure to find GCD of 454, 471, 22 on our page.
3. How to find GCD of 454, 471, 22 on a calculator?
You can find the GCD of 454, 471, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.