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 494, 508, 893, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 508, 893, 685 is 1
GCD(494, 508, 893, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 508, 893, 685 is 1
GCD(494, 508, 893, 685) = 1
Given Input numbers are 494, 508, 893, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 494, 508, 893, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 508, 893, 685 is 1.
Therefore, GCD of numbers 494, 508, 893, 685 is 1
Given Input Data is 494, 508, 893, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 893 is 19 x 47
Prime Factorization of 685 is 5 x 137
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(494, 508) = 125476
GCD(494, 508) = ( 494 x 508 ) / 125476
GCD(494, 508) = 250952 / 125476
GCD(494, 508) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 893) = 1786
GCD(2, 893) = ( 2 x 893 ) / 1786
GCD(2, 893) = 1786 / 1786
GCD(2, 893) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
GCD of 494, 508, 893, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 508, 893, 685?
GCD of 494, 508, 893, 685 is 1
2. Where do I get the detailed procedure to find GCD of 494, 508, 893, 685?
You can find a detailed procedure to find GCD of 494, 508, 893, 685 on our page.
3. How to find GCD of 494, 508, 893, 685 on a calculator?
You can find the GCD of 494, 508, 893, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.