GCD of 525, 255, 28, 509 Calculator

Given Input numbers are 525, 255, 28, 509

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 525, 255, 28, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 255, 28, 509 is 1.

Therefore, GCD of numbers 525, 255, 28, 509 is 1

Given Input Data is 525, 255, 28, 509

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 509 is 509

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(525, 255) = 8925

GCD(525, 255) = ( 525 x 255 ) / 8925

GCD(525, 255) = 133875 / 8925

GCD(525, 255) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 28

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

LCM(15, 28) = 420

GCD(15, 28) = ( 15 x 28 ) / 420

GCD(15, 28) = 420 / 420

GCD(15, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 525, 255, 28, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 278, 95, 567
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• GCD of 188, 891, 19, 831
• GCD of 839, 689, 69, 237
• GCD of 827, 801, 16, 117

1. What is the GCD of 525, 255, 28, 509?

GCD of 525, 255, 28, 509 is 1

2. Where do I get the detailed procedure to find GCD of 525, 255, 28, 509?

You can find a detailed procedure to find GCD of 525, 255, 28, 509 on our page.

3. How to find GCD of 525, 255, 28, 509 on a calculator?

You can find the GCD of 525, 255, 28, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.