GCD of 84, 184, 126, 556 Calculator

Given Input numbers are 84, 184, 126, 556

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 84, 184, 126, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 184, 126, 556 is 2.

Therefore, GCD of numbers 84, 184, 126, 556 is 2

Given Input Data is 84, 184, 126, 556

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 556 is 2 x 2 x 139

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(84, 184) = 3864

GCD(84, 184) = ( 84 x 184 ) / 3864

GCD(84, 184) = 15456 / 3864

GCD(84, 184) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 126

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

LCM(4, 126) = 252

GCD(4, 126) = ( 4 x 126 ) / 252

GCD(4, 126) = 504 / 252

GCD(4, 126) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

GCD of 84, 184, 126, 556 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 421, 813, 640
• GCD of 93, 280, 247, 512
• GCD of 35, 347, 126, 272
• GCD of 81, 435, 122, 448
• GCD of 60, 133, 323, 181

1. What is the GCD of 84, 184, 126, 556?

GCD of 84, 184, 126, 556 is 2

2. Where do I get the detailed procedure to find GCD of 84, 184, 126, 556?

You can find a detailed procedure to find GCD of 84, 184, 126, 556 on our page.

3. How to find GCD of 84, 184, 126, 556 on a calculator?

You can find the GCD of 84, 184, 126, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.