GCD of 378, 162, 858, 884 Calculator

Given Input numbers are 378, 162, 858, 884

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 378, 162, 858, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 162, 858, 884 is 2.

Therefore, GCD of numbers 378, 162, 858, 884 is 2

Given Input Data is 378, 162, 858, 884

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(378, 162) = 1134

GCD(378, 162) = ( 378 x 162 ) / 1134

GCD(378, 162) = 61236 / 1134

GCD(378, 162) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 858

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

LCM(54, 858) = 7722

GCD(54, 858) = ( 54 x 858 ) / 7722

GCD(54, 858) = 46332 / 7722

GCD(54, 858) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 884

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

LCM(6, 884) = 2652

GCD(6, 884) = ( 6 x 884 ) / 2652

GCD(6, 884) = 5304 / 2652

GCD(6, 884) = 2

GCD of 378, 162, 858, 884 is 2

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1. What is the GCD of 378, 162, 858, 884?

GCD of 378, 162, 858, 884 is 2

2. Where do I get the detailed procedure to find GCD of 378, 162, 858, 884?

You can find a detailed procedure to find GCD of 378, 162, 858, 884 on our page.

3. How to find GCD of 378, 162, 858, 884 on a calculator?

You can find the GCD of 378, 162, 858, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.