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 563, 167, 305, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 563, 167, 305, 229 is 1
GCD(563, 167, 305, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 563, 167, 305, 229 is 1
GCD(563, 167, 305, 229) = 1
Given Input numbers are 563, 167, 305, 229
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Greatest Common Divisior
We found the divisors of 563, 167, 305, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 167, 305, 229 is 1.
Therefore, GCD of numbers 563, 167, 305, 229 is 1
Given Input Data is 563, 167, 305, 229
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 563 is 563
Prime Factorization of 167 is 167
Prime Factorization of 305 is 5 x 61
Prime Factorization of 229 is 229
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(563, 167) = 94021
GCD(563, 167) = ( 563 x 167 ) / 94021
GCD(563, 167) = 94021 / 94021
GCD(563, 167) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 229) = 229
GCD(1, 229) = ( 1 x 229 ) / 229
GCD(1, 229) = 229 / 229
GCD(1, 229) = 1
GCD of 563, 167, 305, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 563, 167, 305, 229?
GCD of 563, 167, 305, 229 is 1
2. Where do I get the detailed procedure to find GCD of 563, 167, 305, 229?
You can find a detailed procedure to find GCD of 563, 167, 305, 229 on our page.
3. How to find GCD of 563, 167, 305, 229 on a calculator?
You can find the GCD of 563, 167, 305, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.