GCD of 252, 122, 87, 556 Calculator

Given Input numbers are 252, 122, 87, 556

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 252, 122, 87, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 122, 87, 556 is 1.

Therefore, GCD of numbers 252, 122, 87, 556 is 1

Given Input Data is 252, 122, 87, 556

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 122 is 2 x 61

Prime Factorization of 87 is 3 x 29

Prime Factorization of 556 is 2 x 2 x 139

The above numbers do not have any common prime factor. So GCD is 1

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(252, 122) = 15372

GCD(252, 122) = ( 252 x 122 ) / 15372

GCD(252, 122) = 30744 / 15372

GCD(252, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 252, 122, 87, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 703, 84, 449
• GCD of 183, 993, 18, 210
• GCD of 475, 785, 64, 794
• GCD of 951, 495, 11, 164
• GCD of 431, 314, 79, 604

1. What is the GCD of 252, 122, 87, 556?

GCD of 252, 122, 87, 556 is 1

2. Where do I get the detailed procedure to find GCD of 252, 122, 87, 556?

You can find a detailed procedure to find GCD of 252, 122, 87, 556 on our page.

3. How to find GCD of 252, 122, 87, 556 on a calculator?

You can find the GCD of 252, 122, 87, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.