GCD of 470, 509, 42, 315 Calculator

Given Input numbers are 470, 509, 42, 315

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 509

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

1, 509

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 470, 509, 42, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 509, 42, 315 is 1.

Therefore, GCD of numbers 470, 509, 42, 315 is 1

Given Input Data is 470, 509, 42, 315

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 509 is 509

Prime Factorization of 42 is 2 x 3 x 7

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(470, 509) = 239230

GCD(470, 509) = ( 470 x 509 ) / 239230

GCD(470, 509) = 239230 / 239230

GCD(470, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 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 470, 509, 42, 315 is 1

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• GCD of 769, 257, 43, 540
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• GCD of 756, 568, 16, 674

1. What is the GCD of 470, 509, 42, 315?

GCD of 470, 509, 42, 315 is 1

2. Where do I get the detailed procedure to find GCD of 470, 509, 42, 315?

You can find a detailed procedure to find GCD of 470, 509, 42, 315 on our page.

3. How to find GCD of 470, 509, 42, 315 on a calculator?

You can find the GCD of 470, 509, 42, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.