GCD of 315, 906, 345, 285 Calculator

Given Input numbers are 315, 906, 345, 285

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 315, 906, 345, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 906, 345, 285 is 3.

Therefore, GCD of numbers 315, 906, 345, 285 is 3

Given Input Data is 315, 906, 345, 285

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 906 is 2 x 3 x 151

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 285 is 3 x 5 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 906) = 95130

GCD(315, 906) = ( 315 x 906 ) / 95130

GCD(315, 906) = 285390 / 95130

GCD(315, 906) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 345

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

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

GCD(3, 345) = 1035 / 345

GCD(3, 345) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 285

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

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

GCD(3, 285) = 855 / 285

GCD(3, 285) = 3

GCD of 315, 906, 345, 285 is 3

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1. What is the GCD of 315, 906, 345, 285?

GCD of 315, 906, 345, 285 is 3

2. Where do I get the detailed procedure to find GCD of 315, 906, 345, 285?

You can find a detailed procedure to find GCD of 315, 906, 345, 285 on our page.

3. How to find GCD of 315, 906, 345, 285 on a calculator?

You can find the GCD of 315, 906, 345, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.