GCD of 821, 126, 556 Calculator

Given Input numbers are 821, 126, 556

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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 821, 126, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 126, 556 is 1.

Therefore, GCD of numbers 821, 126, 556 is 1

Given Input Data is 821, 126, 556

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

Prime Factorization of 821 is 821

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

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(821, 126) = 103446

GCD(821, 126) = ( 821 x 126 ) / 103446

GCD(821, 126) = 103446 / 103446

GCD(821, 126) = 1

Step2:

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 821, 126, 556 is 1

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1. What is the GCD of 821, 126, 556?

GCD of 821, 126, 556 is 1

2. Where do I get the detailed procedure to find GCD of 821, 126, 556?

You can find a detailed procedure to find GCD of 821, 126, 556 on our page.

3. How to find GCD of 821, 126, 556 on a calculator?

You can find the GCD of 821, 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.