GCD of 964, 320, 829, 259 Calculator

Given Input numbers are 964, 320, 829, 259

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 964, 320, 829, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 320, 829, 259 is 1.

Therefore, GCD of numbers 964, 320, 829, 259 is 1

Given Input Data is 964, 320, 829, 259

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 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 829 is 829

Prime Factorization of 259 is 7 x 37

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, 320) = 77120

GCD(964, 320) = ( 964 x 320 ) / 77120

GCD(964, 320) = 308480 / 77120

GCD(964, 320) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 829

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 829) = 3316

GCD(4, 829) = ( 4 x 829 ) / 3316

GCD(4, 829) = 3316 / 3316

GCD(4, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 964, 320, 829, 259 is 1

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1. What is the GCD of 964, 320, 829, 259?

GCD of 964, 320, 829, 259 is 1

2. Where do I get the detailed procedure to find GCD of 964, 320, 829, 259?

You can find a detailed procedure to find GCD of 964, 320, 829, 259 on our page.

3. How to find GCD of 964, 320, 829, 259 on a calculator?

You can find the GCD of 964, 320, 829, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.