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, 322, 402, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 322, 402, 663 is 1
GCD(52, 322, 402, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 322, 402, 663 is 1
GCD(52, 322, 402, 663) = 1
Given Input numbers are 52, 322, 402, 663
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 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 52, 322, 402, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 322, 402, 663 is 1.
Therefore, GCD of numbers 52, 322, 402, 663 is 1
Given Input Data is 52, 322, 402, 663
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 322 is 2 x 7 x 23
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 663 is 3 x 13 x 17
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, 322) = 8372
GCD(52, 322) = ( 52 x 322 ) / 8372
GCD(52, 322) = 16744 / 8372
GCD(52, 322) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
GCD(2, 402) = 804 / 402
GCD(2, 402) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 663) = 1326
GCD(2, 663) = ( 2 x 663 ) / 1326
GCD(2, 663) = 1326 / 1326
GCD(2, 663) = 1
GCD of 52, 322, 402, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 322, 402, 663?
GCD of 52, 322, 402, 663 is 1
2. Where do I get the detailed procedure to find GCD of 52, 322, 402, 663?
You can find a detailed procedure to find GCD of 52, 322, 402, 663 on our page.
3. How to find GCD of 52, 322, 402, 663 on a calculator?
You can find the GCD of 52, 322, 402, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.