GCD of 524, 537, 807, 459 Calculator

Given Input numbers are 524, 537, 807, 459

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 524, 537, 807, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 537, 807, 459 is 1.

Therefore, GCD of numbers 524, 537, 807, 459 is 1

Given Input Data is 524, 537, 807, 459

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 537 is 3 x 179

Prime Factorization of 807 is 3 x 269

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(524, 537) = 281388

GCD(524, 537) = ( 524 x 537 ) / 281388

GCD(524, 537) = 281388 / 281388

GCD(524, 537) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 524, 537, 807, 459 is 1

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1. What is the GCD of 524, 537, 807, 459?

GCD of 524, 537, 807, 459 is 1

2. Where do I get the detailed procedure to find GCD of 524, 537, 807, 459?

You can find a detailed procedure to find GCD of 524, 537, 807, 459 on our page.

3. How to find GCD of 524, 537, 807, 459 on a calculator?

You can find the GCD of 524, 537, 807, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.