GCD of 964, 494, 34, 493 Calculator

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

GCD of numbers 964, 494, 34, 493 is 1

GCD(964, 494, 34, 493) = 1

GCD of 964,494,34,493 Calculator

GCDof 964,494,34,493 is 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

Finding GCD of 964, 494, 34, 493 using Prime Factorization

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

Finding GCD of 964, 494, 34, 493 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 964, 494, 34, 493

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.