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 964, 494, 34, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 964, 494, 34, 493 is 1
GCD(964, 494, 34, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 964, 494, 34, 493 is 1
GCD(964, 494, 34, 493) = 1
Given Input numbers are 964, 494, 34, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
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 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 964, 494, 34, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 494, 34, 493 is 1.
Therefore, GCD of numbers 964, 494, 34, 493 is 1
Given Input Data is 964, 494, 34, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 34 is 2 x 17
Prime Factorization of 493 is 17 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(964, 494) = 238108
GCD(964, 494) = ( 964 x 494 ) / 238108
GCD(964, 494) = 476216 / 238108
GCD(964, 494) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
GCD(2, 34) = 68 / 34
GCD(2, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 493) = 986
GCD(2, 493) = ( 2 x 493 ) / 986
GCD(2, 493) = 986 / 986
GCD(2, 493) = 1
GCD of 964, 494, 34, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 964, 494, 34, 493?
GCD of 964, 494, 34, 493 is 1
2. Where do I get the detailed procedure to find GCD of 964, 494, 34, 493?
You can find a detailed procedure to find GCD of 964, 494, 34, 493 on our page.
3. How to find GCD of 964, 494, 34, 493 on a calculator?
You can find the GCD of 964, 494, 34, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.