GCD of 565, 539, 72, 827 Calculator

Given Input numbers are 565, 539, 72, 827

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 565, 539, 72, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 539, 72, 827 is 1.

Therefore, GCD of numbers 565, 539, 72, 827 is 1

Given Input Data is 565, 539, 72, 827

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 827 is 827

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(565, 539) = 304535

GCD(565, 539) = ( 565 x 539 ) / 304535

GCD(565, 539) = 304535 / 304535

GCD(565, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 565, 539, 72, 827 is 1

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1. What is the GCD of 565, 539, 72, 827?

GCD of 565, 539, 72, 827 is 1

2. Where do I get the detailed procedure to find GCD of 565, 539, 72, 827?

You can find a detailed procedure to find GCD of 565, 539, 72, 827 on our page.

3. How to find GCD of 565, 539, 72, 827 on a calculator?

You can find the GCD of 565, 539, 72, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.