GCD of 36, 684, 554, 406 Calculator

Given Input numbers are 36, 684, 554, 406

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 36, 684, 554, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 684, 554, 406 is 2.

Therefore, GCD of numbers 36, 684, 554, 406 is 2

Given Input Data is 36, 684, 554, 406

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 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 554 is 2 x 277

Prime Factorization of 406 is 2 x 7 x 29

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, 684) = 684

GCD(36, 684) = ( 36 x 684 ) / 684

GCD(36, 684) = 24624 / 684

GCD(36, 684) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 554

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

LCM(36, 554) = 9972

GCD(36, 554) = ( 36 x 554 ) / 9972

GCD(36, 554) = 19944 / 9972

GCD(36, 554) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 406

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

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

GCD(2, 406) = 812 / 406

GCD(2, 406) = 2

GCD of 36, 684, 554, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 930, 591, 726
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• GCD of 74, 619, 867, 235

1. What is the GCD of 36, 684, 554, 406?

GCD of 36, 684, 554, 406 is 2

2. Where do I get the detailed procedure to find GCD of 36, 684, 554, 406?

You can find a detailed procedure to find GCD of 36, 684, 554, 406 on our page.

3. How to find GCD of 36, 684, 554, 406 on a calculator?

You can find the GCD of 36, 684, 554, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.