GCD of 640, 792, 452, 583 Calculator

Given Input numbers are 640, 792, 452, 583

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 640, 792, 452, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 792, 452, 583 is 1.

Therefore, GCD of numbers 640, 792, 452, 583 is 1

Given Input Data is 640, 792, 452, 583

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 452 is 2 x 2 x 113

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(640, 792) = 63360

GCD(640, 792) = ( 640 x 792 ) / 63360

GCD(640, 792) = 506880 / 63360

GCD(640, 792) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 452

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

LCM(8, 452) = 904

GCD(8, 452) = ( 8 x 452 ) / 904

GCD(8, 452) = 3616 / 904

GCD(8, 452) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 583

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

LCM(4, 583) = 2332

GCD(4, 583) = ( 4 x 583 ) / 2332

GCD(4, 583) = 2332 / 2332

GCD(4, 583) = 1

GCD of 640, 792, 452, 583 is 1

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1. What is the GCD of 640, 792, 452, 583?

GCD of 640, 792, 452, 583 is 1

2. Where do I get the detailed procedure to find GCD of 640, 792, 452, 583?

You can find a detailed procedure to find GCD of 640, 792, 452, 583 on our page.

3. How to find GCD of 640, 792, 452, 583 on a calculator?

You can find the GCD of 640, 792, 452, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.