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 52, 321, 110, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 321, 110, 263 is 1
GCD(52, 321, 110, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 321, 110, 263 is 1
GCD(52, 321, 110, 263) = 1
Given Input numbers are 52, 321, 110, 263
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
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 52, 321, 110, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 321, 110, 263 is 1.
Therefore, GCD of numbers 52, 321, 110, 263 is 1
Given Input Data is 52, 321, 110, 263
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 321 is 3 x 107
Prime Factorization of 110 is 2 x 5 x 11
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(52, 321) = 16692
GCD(52, 321) = ( 52 x 321 ) / 16692
GCD(52, 321) = 16692 / 16692
GCD(52, 321) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 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 52, 321, 110, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 321, 110, 263?
GCD of 52, 321, 110, 263 is 1
2. Where do I get the detailed procedure to find GCD of 52, 321, 110, 263?
You can find a detailed procedure to find GCD of 52, 321, 110, 263 on our page.
3. How to find GCD of 52, 321, 110, 263 on a calculator?
You can find the GCD of 52, 321, 110, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.