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 323, 738, 807, 406 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 738, 807, 406 is 1
GCD(323, 738, 807, 406) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 738, 807, 406 is 1
GCD(323, 738, 807, 406) = 1
Given Input numbers are 323, 738, 807, 406
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Greatest Common Divisior
We found the divisors of 323, 738, 807, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 738, 807, 406 is 1.
Therefore, GCD of numbers 323, 738, 807, 406 is 1
Given Input Data is 323, 738, 807, 406
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 807 is 3 x 269
Prime Factorization of 406 is 2 x 7 x 29
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(323, 738) = 238374
GCD(323, 738) = ( 323 x 738 ) / 238374
GCD(323, 738) = 238374 / 238374
GCD(323, 738) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 807) = 807
GCD(1, 807) = ( 1 x 807 ) / 807
GCD(1, 807) = 807 / 807
GCD(1, 807) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
GCD of 323, 738, 807, 406 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 738, 807, 406?
GCD of 323, 738, 807, 406 is 1
2. Where do I get the detailed procedure to find GCD of 323, 738, 807, 406?
You can find a detailed procedure to find GCD of 323, 738, 807, 406 on our page.
3. How to find GCD of 323, 738, 807, 406 on a calculator?
You can find the GCD of 323, 738, 807, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.