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 523, 312, 311, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 523, 312, 311, 103 is 1
GCD(523, 312, 311, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 523, 312, 311, 103 is 1
GCD(523, 312, 311, 103) = 1
Given Input numbers are 523, 312, 311, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 523, 312, 311, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 312, 311, 103 is 1.
Therefore, GCD of numbers 523, 312, 311, 103 is 1
Given Input Data is 523, 312, 311, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 523 is 523
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 311 is 311
Prime Factorization of 103 is 103
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(523, 312) = 163176
GCD(523, 312) = ( 523 x 312 ) / 163176
GCD(523, 312) = 163176 / 163176
GCD(523, 312) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
GCD(1, 311) = 311 / 311
GCD(1, 311) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
GCD of 523, 312, 311, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 523, 312, 311, 103?
GCD of 523, 312, 311, 103 is 1
2. Where do I get the detailed procedure to find GCD of 523, 312, 311, 103?
You can find a detailed procedure to find GCD of 523, 312, 311, 103 on our page.
3. How to find GCD of 523, 312, 311, 103 on a calculator?
You can find the GCD of 523, 312, 311, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.