GCD of 315, 842, 351, 837 Calculator

Given Input numbers are 315, 842, 351, 837

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 315, 842, 351, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 842, 351, 837 is 1.

Therefore, GCD of numbers 315, 842, 351, 837 is 1

Given Input Data is 315, 842, 351, 837

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 842 is 2 x 421

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 837 is 3 x 3 x 3 x 31

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, 842) = 265230

GCD(315, 842) = ( 315 x 842 ) / 265230

GCD(315, 842) = 265230 / 265230

GCD(315, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 837

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

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

GCD(1, 837) = 837 / 837

GCD(1, 837) = 1

GCD of 315, 842, 351, 837 is 1

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1. What is the GCD of 315, 842, 351, 837?

GCD of 315, 842, 351, 837 is 1

2. Where do I get the detailed procedure to find GCD of 315, 842, 351, 837?

You can find a detailed procedure to find GCD of 315, 842, 351, 837 on our page.

3. How to find GCD of 315, 842, 351, 837 on a calculator?

You can find the GCD of 315, 842, 351, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.