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 164, 793, 693, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 793, 693, 318 is 1
GCD(164, 793, 693, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 793, 693, 318 is 1
GCD(164, 793, 693, 318) = 1
Given Input numbers are 164, 793, 693, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 164, 793, 693, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 793, 693, 318 is 1.
Therefore, GCD of numbers 164, 793, 693, 318 is 1
Given Input Data is 164, 793, 693, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 793 is 13 x 61
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 318 is 2 x 3 x 53
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(164, 793) = 130052
GCD(164, 793) = ( 164 x 793 ) / 130052
GCD(164, 793) = 130052 / 130052
GCD(164, 793) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 164, 793, 693, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 793, 693, 318?
GCD of 164, 793, 693, 318 is 1
2. Where do I get the detailed procedure to find GCD of 164, 793, 693, 318?
You can find a detailed procedure to find GCD of 164, 793, 693, 318 on our page.
3. How to find GCD of 164, 793, 693, 318 on a calculator?
You can find the GCD of 164, 793, 693, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.