GCD of 315, 951, 865, 854 Calculator

Given Input numbers are 315, 951, 865, 854

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 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 315, 951, 865, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 951, 865, 854 is 1.

Therefore, GCD of numbers 315, 951, 865, 854 is 1

Given Input Data is 315, 951, 865, 854

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 951 is 3 x 317

Prime Factorization of 865 is 5 x 173

Prime Factorization of 854 is 2 x 7 x 61

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, 951) = 99855

GCD(315, 951) = ( 315 x 951 ) / 99855

GCD(315, 951) = 299565 / 99855

GCD(315, 951) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 865

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

LCM(3, 865) = 2595

GCD(3, 865) = ( 3 x 865 ) / 2595

GCD(3, 865) = 2595 / 2595

GCD(3, 865) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 315, 951, 865, 854 is 1

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1. What is the GCD of 315, 951, 865, 854?

GCD of 315, 951, 865, 854 is 1

2. Where do I get the detailed procedure to find GCD of 315, 951, 865, 854?

You can find a detailed procedure to find GCD of 315, 951, 865, 854 on our page.

3. How to find GCD of 315, 951, 865, 854 on a calculator?

You can find the GCD of 315, 951, 865, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.