GCD of 12, 318, 252, 858 Calculator

Given Input numbers are 12, 318, 252, 858

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 12, 318, 252, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 318, 252, 858 is 6.

Therefore, GCD of numbers 12, 318, 252, 858 is 6

Given Input Data is 12, 318, 252, 858

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(12, 318) = 636

GCD(12, 318) = ( 12 x 318 ) / 636

GCD(12, 318) = 3816 / 636

GCD(12, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 252

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

LCM(6, 252) = 252

GCD(6, 252) = ( 6 x 252 ) / 252

GCD(6, 252) = 1512 / 252

GCD(6, 252) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 858

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

LCM(6, 858) = 858

GCD(6, 858) = ( 6 x 858 ) / 858

GCD(6, 858) = 5148 / 858

GCD(6, 858) = 6

GCD of 12, 318, 252, 858 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 857, 682, 443
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• GCD of 24, 436, 401, 366
• GCD of 90, 715, 754, 959

1. What is the GCD of 12, 318, 252, 858?

GCD of 12, 318, 252, 858 is 6

2. Where do I get the detailed procedure to find GCD of 12, 318, 252, 858?

You can find a detailed procedure to find GCD of 12, 318, 252, 858 on our page.

3. How to find GCD of 12, 318, 252, 858 on a calculator?

You can find the GCD of 12, 318, 252, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.