GCD of 565, 496, 57, 508 Calculator

Given Input numbers are 565, 496, 57, 508

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 565, 496, 57, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 496, 57, 508 is 1.

Therefore, GCD of numbers 565, 496, 57, 508 is 1

Given Input Data is 565, 496, 57, 508

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 57 is 3 x 19

Prime Factorization of 508 is 2 x 2 x 127

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, 496) = 280240

GCD(565, 496) = ( 565 x 496 ) / 280240

GCD(565, 496) = 280240 / 280240

GCD(565, 496) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 565, 496, 57, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 940, 37, 341
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• GCD of 736, 255, 66, 580
• GCD of 734, 584, 35, 268
• GCD of 663, 258, 97, 393

1. What is the GCD of 565, 496, 57, 508?

GCD of 565, 496, 57, 508 is 1

2. Where do I get the detailed procedure to find GCD of 565, 496, 57, 508?

You can find a detailed procedure to find GCD of 565, 496, 57, 508 on our page.

3. How to find GCD of 565, 496, 57, 508 on a calculator?

You can find the GCD of 565, 496, 57, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.