GCD of 553, 774, 766, 512 Calculator

Given Input numbers are 553, 774, 766, 512

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 553, 774, 766, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 774, 766, 512 is 1.

Therefore, GCD of numbers 553, 774, 766, 512 is 1

Given Input Data is 553, 774, 766, 512

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 766 is 2 x 383

Prime Factorization of 512 is 2 x 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, 774) = 428022

GCD(553, 774) = ( 553 x 774 ) / 428022

GCD(553, 774) = 428022 / 428022

GCD(553, 774) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 553, 774, 766, 512 is 1

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1. What is the GCD of 553, 774, 766, 512?

GCD of 553, 774, 766, 512 is 1

2. Where do I get the detailed procedure to find GCD of 553, 774, 766, 512?

You can find a detailed procedure to find GCD of 553, 774, 766, 512 on our page.

3. How to find GCD of 553, 774, 766, 512 on a calculator?

You can find the GCD of 553, 774, 766, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.