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 422, 154, 81, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 154, 81, 563 is 1
GCD(422, 154, 81, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 154, 81, 563 is 1
GCD(422, 154, 81, 563) = 1
Given Input numbers are 422, 154, 81, 563
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Greatest Common Divisior
We found the divisors of 422, 154, 81, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 154, 81, 563 is 1.
Therefore, GCD of numbers 422, 154, 81, 563 is 1
Given Input Data is 422, 154, 81, 563
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 563 is 563
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(422, 154) = 32494
GCD(422, 154) = ( 422 x 154 ) / 32494
GCD(422, 154) = 64988 / 32494
GCD(422, 154) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 81) = 162
GCD(2, 81) = ( 2 x 81 ) / 162
GCD(2, 81) = 162 / 162
GCD(2, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
GCD of 422, 154, 81, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 154, 81, 563?
GCD of 422, 154, 81, 563 is 1
2. Where do I get the detailed procedure to find GCD of 422, 154, 81, 563?
You can find a detailed procedure to find GCD of 422, 154, 81, 563 on our page.
3. How to find GCD of 422, 154, 81, 563 on a calculator?
You can find the GCD of 422, 154, 81, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.