GCD of 532, 344, 561, 511 Calculator

Given Input numbers are 532, 344, 561, 511

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 532, 344, 561, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 344, 561, 511 is 1.

Therefore, GCD of numbers 532, 344, 561, 511 is 1

Given Input Data is 532, 344, 561, 511

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 511 is 7 x 73

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(532, 344) = 45752

GCD(532, 344) = ( 532 x 344 ) / 45752

GCD(532, 344) = 183008 / 45752

GCD(532, 344) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 561

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

LCM(4, 561) = 2244

GCD(4, 561) = ( 4 x 561 ) / 2244

GCD(4, 561) = 2244 / 2244

GCD(4, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

GCD of 532, 344, 561, 511 is 1

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1. What is the GCD of 532, 344, 561, 511?

GCD of 532, 344, 561, 511 is 1

2. Where do I get the detailed procedure to find GCD of 532, 344, 561, 511?

You can find a detailed procedure to find GCD of 532, 344, 561, 511 on our page.

3. How to find GCD of 532, 344, 561, 511 on a calculator?

You can find the GCD of 532, 344, 561, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.