GCD of 315, 982, 30, 504 Calculator

Given Input numbers are 315, 982, 30, 504

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

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 315, 982, 30, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 982, 30, 504 is 1.

Therefore, GCD of numbers 315, 982, 30, 504 is 1

Given Input Data is 315, 982, 30, 504

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

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 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(315, 982) = 309330

GCD(315, 982) = ( 315 x 982 ) / 309330

GCD(315, 982) = 309330 / 309330

GCD(315, 982) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 315, 982, 30, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 464, 13, 647
• GCD of 555, 499, 50, 269
• GCD of 116, 915, 23, 235
• GCD of 308, 256, 84, 691
• GCD of 666, 479, 53, 586

1. What is the GCD of 315, 982, 30, 504?

GCD of 315, 982, 30, 504 is 1

2. Where do I get the detailed procedure to find GCD of 315, 982, 30, 504?

You can find a detailed procedure to find GCD of 315, 982, 30, 504 on our page.

3. How to find GCD of 315, 982, 30, 504 on a calculator?

You can find the GCD of 315, 982, 30, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.