GCD of 158, 488, 36, 406 Calculator

Given Input numbers are 158, 488, 36, 406

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

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

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 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 158, 488, 36, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 488, 36, 406 is 2.

Therefore, GCD of numbers 158, 488, 36, 406 is 2

Given Input Data is 158, 488, 36, 406

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 488 is 2 x 2 x 2 x 61

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

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(158, 488) = 38552

GCD(158, 488) = ( 158 x 488 ) / 38552

GCD(158, 488) = 77104 / 38552

GCD(158, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 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 158, 488, 36, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 285, 97, 653
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• GCD of 134, 258, 67, 474

1. What is the GCD of 158, 488, 36, 406?

GCD of 158, 488, 36, 406 is 2

2. Where do I get the detailed procedure to find GCD of 158, 488, 36, 406?

You can find a detailed procedure to find GCD of 158, 488, 36, 406 on our page.

3. How to find GCD of 158, 488, 36, 406 on a calculator?

You can find the GCD of 158, 488, 36, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.