GCD of 969, 404, 438, 583 Calculator

Given Input numbers are 969, 404, 438, 583

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 969, 404, 438, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 404, 438, 583 is 1.

Therefore, GCD of numbers 969, 404, 438, 583 is 1

Given Input Data is 969, 404, 438, 583

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 583 is 11 x 53

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(969, 404) = 391476

GCD(969, 404) = ( 969 x 404 ) / 391476

GCD(969, 404) = 391476 / 391476

GCD(969, 404) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 969, 404, 438, 583 is 1

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1. What is the GCD of 969, 404, 438, 583?

GCD of 969, 404, 438, 583 is 1

2. Where do I get the detailed procedure to find GCD of 969, 404, 438, 583?

You can find a detailed procedure to find GCD of 969, 404, 438, 583 on our page.

3. How to find GCD of 969, 404, 438, 583 on a calculator?

You can find the GCD of 969, 404, 438, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.