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 567, 146, 296, 403 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 146, 296, 403 is 1
GCD(567, 146, 296, 403) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 146, 296, 403 is 1
GCD(567, 146, 296, 403) = 1
Given Input numbers are 567, 146, 296, 403
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Greatest Common Divisior
We found the divisors of 567, 146, 296, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 146, 296, 403 is 1.
Therefore, GCD of numbers 567, 146, 296, 403 is 1
Given Input Data is 567, 146, 296, 403
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 146 is 2 x 73
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 403 is 13 x 31
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(567, 146) = 82782
GCD(567, 146) = ( 567 x 146 ) / 82782
GCD(567, 146) = 82782 / 82782
GCD(567, 146) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 403) = 403
GCD(1, 403) = ( 1 x 403 ) / 403
GCD(1, 403) = 403 / 403
GCD(1, 403) = 1
GCD of 567, 146, 296, 403 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 146, 296, 403?
GCD of 567, 146, 296, 403 is 1
2. Where do I get the detailed procedure to find GCD of 567, 146, 296, 403?
You can find a detailed procedure to find GCD of 567, 146, 296, 403 on our page.
3. How to find GCD of 567, 146, 296, 403 on a calculator?
You can find the GCD of 567, 146, 296, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.