GCD of 564, 311, 899, 545 Calculator

Given Input numbers are 564, 311, 899, 545

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 564, 311, 899, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 311, 899, 545 is 1.

Therefore, GCD of numbers 564, 311, 899, 545 is 1

Given Input Data is 564, 311, 899, 545

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 311 is 311

Prime Factorization of 899 is 29 x 31

Prime Factorization of 545 is 5 x 109

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(564, 311) = 175404

GCD(564, 311) = ( 564 x 311 ) / 175404

GCD(564, 311) = 175404 / 175404

GCD(564, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 564, 311, 899, 545 is 1

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• GCD of 503, 351, 380, 469
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• GCD of 609, 992, 964, 384

1. What is the GCD of 564, 311, 899, 545?

GCD of 564, 311, 899, 545 is 1

2. Where do I get the detailed procedure to find GCD of 564, 311, 899, 545?

You can find a detailed procedure to find GCD of 564, 311, 899, 545 on our page.

3. How to find GCD of 564, 311, 899, 545 on a calculator?

You can find the GCD of 564, 311, 899, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.