GCD of 36, 218, 626, 128 Calculator

Given Input numbers are 36, 218, 626, 128

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 36, 218, 626, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 218, 626, 128 is 2.

Therefore, GCD of numbers 36, 218, 626, 128 is 2

Given Input Data is 36, 218, 626, 128

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 218 is 2 x 109

Prime Factorization of 626 is 2 x 313

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(36, 218) = 3924

GCD(36, 218) = ( 36 x 218 ) / 3924

GCD(36, 218) = 7848 / 3924

GCD(36, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 626

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

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

GCD(2, 626) = 1252 / 626

GCD(2, 626) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 128

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

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

GCD(2, 128) = 256 / 128

GCD(2, 128) = 2

GCD of 36, 218, 626, 128 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 872, 650, 742
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• GCD of 53, 279, 152, 442
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• GCD of 78, 932, 786, 800

1. What is the GCD of 36, 218, 626, 128?

GCD of 36, 218, 626, 128 is 2

2. Where do I get the detailed procedure to find GCD of 36, 218, 626, 128?

You can find a detailed procedure to find GCD of 36, 218, 626, 128 on our page.

3. How to find GCD of 36, 218, 626, 128 on a calculator?

You can find the GCD of 36, 218, 626, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.