GCD of 531, 768, 272, 640 Calculator

Given Input numbers are 531, 768, 272, 640

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

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

Greatest Common Divisior

We found the divisors of 531, 768, 272, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 768, 272, 640 is 1.

Therefore, GCD of numbers 531, 768, 272, 640 is 1

Given Input Data is 531, 768, 272, 640

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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

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(531, 768) = 135936

GCD(531, 768) = ( 531 x 768 ) / 135936

GCD(531, 768) = 407808 / 135936

GCD(531, 768) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 272

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

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

GCD(3, 272) = 816 / 816

GCD(3, 272) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 531, 768, 272, 640 is 1

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1. What is the GCD of 531, 768, 272, 640?

GCD of 531, 768, 272, 640 is 1

2. Where do I get the detailed procedure to find GCD of 531, 768, 272, 640?

You can find a detailed procedure to find GCD of 531, 768, 272, 640 on our page.

3. How to find GCD of 531, 768, 272, 640 on a calculator?

You can find the GCD of 531, 768, 272, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.