GCD of 838, 216, 820, 150 Calculator

Given Input numbers are 838, 216, 820, 150

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 838, 216, 820, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 216, 820, 150 is 2.

Therefore, GCD of numbers 838, 216, 820, 150 is 2

Given Input Data is 838, 216, 820, 150

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 150 is 2 x 3 x 5 x 5

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, 216) = 90504

GCD(838, 216) = ( 838 x 216 ) / 90504

GCD(838, 216) = 181008 / 90504

GCD(838, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 150

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

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

GCD(2, 150) = 300 / 150

GCD(2, 150) = 2

GCD of 838, 216, 820, 150 is 2

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1. What is the GCD of 838, 216, 820, 150?

GCD of 838, 216, 820, 150 is 2

2. Where do I get the detailed procedure to find GCD of 838, 216, 820, 150?

You can find a detailed procedure to find GCD of 838, 216, 820, 150 on our page.

3. How to find GCD of 838, 216, 820, 150 on a calculator?

You can find the GCD of 838, 216, 820, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.