GCD of 315, 885, 869, 588 Calculator

Given Input numbers are 315, 885, 869, 588

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 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 315, 885, 869, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 885, 869, 588 is 1.

Therefore, GCD of numbers 315, 885, 869, 588 is 1

Given Input Data is 315, 885, 869, 588

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 885 is 3 x 5 x 59

Prime Factorization of 869 is 11 x 79

Prime Factorization of 588 is 2 x 2 x 3 x 7 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, 885) = 18585

GCD(315, 885) = ( 315 x 885 ) / 18585

GCD(315, 885) = 278775 / 18585

GCD(315, 885) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 869

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

LCM(15, 869) = 13035

GCD(15, 869) = ( 15 x 869 ) / 13035

GCD(15, 869) = 13035 / 13035

GCD(15, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 315, 885, 869, 588 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 315, 885, 869, 588?

GCD of 315, 885, 869, 588 is 1

2. Where do I get the detailed procedure to find GCD of 315, 885, 869, 588?

You can find a detailed procedure to find GCD of 315, 885, 869, 588 on our page.

3. How to find GCD of 315, 885, 869, 588 on a calculator?

You can find the GCD of 315, 885, 869, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.