GCD of 332, 296, 36, 556 Calculator

Given Input numbers are 332, 296, 36, 556

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 332, 296, 36, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 296, 36, 556 is 4.

Therefore, GCD of numbers 332, 296, 36, 556 is 4

Given Input Data is 332, 296, 36, 556

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

Prime Factorization of 556 is 2 x 2 x 139

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(332, 296) = 24568

GCD(332, 296) = ( 332 x 296 ) / 24568

GCD(332, 296) = 98272 / 24568

GCD(332, 296) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 556

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

LCM(4, 556) = 556

GCD(4, 556) = ( 4 x 556 ) / 556

GCD(4, 556) = 2224 / 556

GCD(4, 556) = 4

GCD of 332, 296, 36, 556 is 4

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1. What is the GCD of 332, 296, 36, 556?

GCD of 332, 296, 36, 556 is 4

2. Where do I get the detailed procedure to find GCD of 332, 296, 36, 556?

You can find a detailed procedure to find GCD of 332, 296, 36, 556 on our page.

3. How to find GCD of 332, 296, 36, 556 on a calculator?

You can find the GCD of 332, 296, 36, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.