GCD of 188, 554, 438, 132 Calculator

Given Input numbers are 188, 554, 438, 132

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 554

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

1, 2, 277, 554

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 188, 554, 438, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 554, 438, 132 is 2.

Therefore, GCD of numbers 188, 554, 438, 132 is 2

Given Input Data is 188, 554, 438, 132

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 554 is 2 x 277

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(188, 554) = 52076

GCD(188, 554) = ( 188 x 554 ) / 52076

GCD(188, 554) = 104152 / 52076

GCD(188, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 438

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

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

GCD(2, 438) = 876 / 438

GCD(2, 438) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 188, 554, 438, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 902, 305, 473
• GCD of 737, 570, 764, 343
• GCD of 673, 922, 496, 434
• GCD of 134, 423, 300, 668
• GCD of 306, 656, 109, 422

1. What is the GCD of 188, 554, 438, 132?

GCD of 188, 554, 438, 132 is 2

2. Where do I get the detailed procedure to find GCD of 188, 554, 438, 132?

You can find a detailed procedure to find GCD of 188, 554, 438, 132 on our page.

3. How to find GCD of 188, 554, 438, 132 on a calculator?

You can find the GCD of 188, 554, 438, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.