GCD of 315, 816, 21, 858 Calculator

Given Input numbers are 315, 816, 21, 858

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 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 315, 816, 21, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 816, 21, 858 is 3.

Therefore, GCD of numbers 315, 816, 21, 858 is 3

Given Input Data is 315, 816, 21, 858

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 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 21 is 3 x 7

Prime Factorization of 858 is 2 x 3 x 11 x 13

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, 816) = 85680

GCD(315, 816) = ( 315 x 816 ) / 85680

GCD(315, 816) = 257040 / 85680

GCD(315, 816) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 858

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

LCM(3, 858) = 858

GCD(3, 858) = ( 3 x 858 ) / 858

GCD(3, 858) = 2574 / 858

GCD(3, 858) = 3

GCD of 315, 816, 21, 858 is 3

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1. What is the GCD of 315, 816, 21, 858?

GCD of 315, 816, 21, 858 is 3

2. Where do I get the detailed procedure to find GCD of 315, 816, 21, 858?

You can find a detailed procedure to find GCD of 315, 816, 21, 858 on our page.

3. How to find GCD of 315, 816, 21, 858 on a calculator?

You can find the GCD of 315, 816, 21, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.