GCD of 838, 442, 162, 220 Calculator

Given Input numbers are 838, 442, 162, 220

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 838, 442, 162, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 442, 162, 220 is 2.

Therefore, GCD of numbers 838, 442, 162, 220 is 2

Given Input Data is 838, 442, 162, 220

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(838, 442) = 185198

GCD(838, 442) = ( 838 x 442 ) / 185198

GCD(838, 442) = 370396 / 185198

GCD(838, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 162

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

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

GCD(2, 162) = 324 / 162

GCD(2, 162) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

GCD of 838, 442, 162, 220 is 2

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1. What is the GCD of 838, 442, 162, 220?

GCD of 838, 442, 162, 220 is 2

2. Where do I get the detailed procedure to find GCD of 838, 442, 162, 220?

You can find a detailed procedure to find GCD of 838, 442, 162, 220 on our page.

3. How to find GCD of 838, 442, 162, 220 on a calculator?

You can find the GCD of 838, 442, 162, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.