GCD of 523, 508, 15, 456 Calculator

Given Input numbers are 523, 508, 15, 456

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 523, 508, 15, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 508, 15, 456 is 1.

Therefore, GCD of numbers 523, 508, 15, 456 is 1

Given Input Data is 523, 508, 15, 456

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

Prime Factorization of 523 is 523

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 15 is 3 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(523, 508) = 265684

GCD(523, 508) = ( 523 x 508 ) / 265684

GCD(523, 508) = 265684 / 265684

GCD(523, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 523, 508, 15, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 974, 74, 726
• GCD of 630, 652, 81, 152
• GCD of 125, 661, 12, 375
• GCD of 809, 638, 19, 859
• GCD of 662, 330, 28, 505

1. What is the GCD of 523, 508, 15, 456?

GCD of 523, 508, 15, 456 is 1

2. Where do I get the detailed procedure to find GCD of 523, 508, 15, 456?

You can find a detailed procedure to find GCD of 523, 508, 15, 456 on our page.

3. How to find GCD of 523, 508, 15, 456 on a calculator?

You can find the GCD of 523, 508, 15, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.