GCD of 637, 530, 523, 315 Calculator

Given Input numbers are 637, 530, 523, 315

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

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 523

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

1, 523

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 637, 530, 523, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 530, 523, 315 is 1.

Therefore, GCD of numbers 637, 530, 523, 315 is 1

Given Input Data is 637, 530, 523, 315

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

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 523 is 523

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(637, 530) = 337610

GCD(637, 530) = ( 637 x 530 ) / 337610

GCD(637, 530) = 337610 / 337610

GCD(637, 530) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 637, 530, 523, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 462, 662, 890
• GCD of 149, 603, 639, 966
• GCD of 996, 662, 544, 824
• GCD of 484, 234, 144, 994
• GCD of 619, 301, 262, 935

1. What is the GCD of 637, 530, 523, 315?

GCD of 637, 530, 523, 315 is 1

2. Where do I get the detailed procedure to find GCD of 637, 530, 523, 315?

You can find a detailed procedure to find GCD of 637, 530, 523, 315 on our page.

3. How to find GCD of 637, 530, 523, 315 on a calculator?

You can find the GCD of 637, 530, 523, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.