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 793, 616, 918, 338 i.e. 1 largest integer that divides all the numbers equally.
GCD of 793, 616, 918, 338 is 1
GCD(793, 616, 918, 338) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 793, 616, 918, 338 is 1
GCD(793, 616, 918, 338) = 1
Given Input numbers are 793, 616, 918, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 793, 616, 918, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 616, 918, 338 is 1.
Therefore, GCD of numbers 793, 616, 918, 338 is 1
Given Input Data is 793, 616, 918, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 793 is 13 x 61
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 338 is 2 x 13 x 13
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(793, 616) = 488488
GCD(793, 616) = ( 793 x 616 ) / 488488
GCD(793, 616) = 488488 / 488488
GCD(793, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
GCD of 793, 616, 918, 338 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 793, 616, 918, 338?
GCD of 793, 616, 918, 338 is 1
2. Where do I get the detailed procedure to find GCD of 793, 616, 918, 338?
You can find a detailed procedure to find GCD of 793, 616, 918, 338 on our page.
3. How to find GCD of 793, 616, 918, 338 on a calculator?
You can find the GCD of 793, 616, 918, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.