GCD of 553, 783, 136, 256 Calculator

Given Input numbers are 553, 783, 136, 256

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 553, 783, 136, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 783, 136, 256 is 1.

Therefore, GCD of numbers 553, 783, 136, 256 is 1

Given Input Data is 553, 783, 136, 256

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(553, 783) = 432999

GCD(553, 783) = ( 553 x 783 ) / 432999

GCD(553, 783) = 432999 / 432999

GCD(553, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 553, 783, 136, 256 is 1

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1. What is the GCD of 553, 783, 136, 256?

GCD of 553, 783, 136, 256 is 1

2. Where do I get the detailed procedure to find GCD of 553, 783, 136, 256?

You can find a detailed procedure to find GCD of 553, 783, 136, 256 on our page.

3. How to find GCD of 553, 783, 136, 256 on a calculator?

You can find the GCD of 553, 783, 136, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.