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 321, 306, 52, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 306, 52, 263 is 1
GCD(321, 306, 52, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 306, 52, 263 is 1
GCD(321, 306, 52, 263) = 1
Given Input numbers are 321, 306, 52, 263
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 321, 306, 52, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 306, 52, 263 is 1.
Therefore, GCD of numbers 321, 306, 52, 263 is 1
Given Input Data is 321, 306, 52, 263
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 263 is 263
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(321, 306) = 32742
GCD(321, 306) = ( 321 x 306 ) / 32742
GCD(321, 306) = 98226 / 32742
GCD(321, 306) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 52) = 156
GCD(3, 52) = ( 3 x 52 ) / 156
GCD(3, 52) = 156 / 156
GCD(3, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 263) = 263
GCD(1, 263) = ( 1 x 263 ) / 263
GCD(1, 263) = 263 / 263
GCD(1, 263) = 1
GCD of 321, 306, 52, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 306, 52, 263?
GCD of 321, 306, 52, 263 is 1
2. Where do I get the detailed procedure to find GCD of 321, 306, 52, 263?
You can find a detailed procedure to find GCD of 321, 306, 52, 263 on our page.
3. How to find GCD of 321, 306, 52, 263 on a calculator?
You can find the GCD of 321, 306, 52, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.