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 838, 652, 687, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 652, 687, 494 is 1
GCD(838, 652, 687, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 652, 687, 494 is 1
GCD(838, 652, 687, 494) = 1
Given Input numbers are 838, 652, 687, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 838, 652, 687, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 652, 687, 494 is 1.
Therefore, GCD of numbers 838, 652, 687, 494 is 1
Given Input Data is 838, 652, 687, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 687 is 3 x 229
Prime Factorization of 494 is 2 x 13 x 19
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(838, 652) = 273188
GCD(838, 652) = ( 838 x 652 ) / 273188
GCD(838, 652) = 546376 / 273188
GCD(838, 652) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
GCD(2, 687) = 1374 / 1374
GCD(2, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
GCD(1, 494) = 494 / 494
GCD(1, 494) = 1
GCD of 838, 652, 687, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 652, 687, 494?
GCD of 838, 652, 687, 494 is 1
2. Where do I get the detailed procedure to find GCD of 838, 652, 687, 494?
You can find a detailed procedure to find GCD of 838, 652, 687, 494 on our page.
3. How to find GCD of 838, 652, 687, 494 on a calculator?
You can find the GCD of 838, 652, 687, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.