GCD of 378, 438, 862, 222 Calculator

Given Input numbers are 378, 438, 862, 222

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 378, 438, 862, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 438, 862, 222 is 2.

Therefore, GCD of numbers 378, 438, 862, 222 is 2

Given Input Data is 378, 438, 862, 222

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 438 is 2 x 3 x 73

Prime Factorization of 862 is 2 x 431

Prime Factorization of 222 is 2 x 3 x 37

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, 438) = 27594

GCD(378, 438) = ( 378 x 438 ) / 27594

GCD(378, 438) = 165564 / 27594

GCD(378, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 862

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

LCM(6, 862) = 2586

GCD(6, 862) = ( 6 x 862 ) / 2586

GCD(6, 862) = 5172 / 2586

GCD(6, 862) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 222

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

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

GCD(2, 222) = 444 / 222

GCD(2, 222) = 2

GCD of 378, 438, 862, 222 is 2

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1. What is the GCD of 378, 438, 862, 222?

GCD of 378, 438, 862, 222 is 2

2. Where do I get the detailed procedure to find GCD of 378, 438, 862, 222?

You can find a detailed procedure to find GCD of 378, 438, 862, 222 on our page.

3. How to find GCD of 378, 438, 862, 222 on a calculator?

You can find the GCD of 378, 438, 862, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.