GCD of 560, 727, 59, 506 Calculator

Given Input numbers are 560, 727, 59, 506

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 560, 727, 59, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 727, 59, 506 is 1.

Therefore, GCD of numbers 560, 727, 59, 506 is 1

Given Input Data is 560, 727, 59, 506

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 727 is 727

Prime Factorization of 59 is 59

Prime Factorization of 506 is 2 x 11 x 23

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(560, 727) = 407120

GCD(560, 727) = ( 560 x 727 ) / 407120

GCD(560, 727) = 407120 / 407120

GCD(560, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 560, 727, 59, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 391, 20, 764
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• GCD of 304, 840, 50, 345
• GCD of 786, 640, 19, 998
• GCD of 990, 271, 77, 303

1. What is the GCD of 560, 727, 59, 506?

GCD of 560, 727, 59, 506 is 1

2. Where do I get the detailed procedure to find GCD of 560, 727, 59, 506?

You can find a detailed procedure to find GCD of 560, 727, 59, 506 on our page.

3. How to find GCD of 560, 727, 59, 506 on a calculator?

You can find the GCD of 560, 727, 59, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.