GCD of 444, 560, 842, 211 Calculator

Given Input numbers are 444, 560, 842, 211

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 444, 560, 842, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 560, 842, 211 is 1.

Therefore, GCD of numbers 444, 560, 842, 211 is 1

Given Input Data is 444, 560, 842, 211

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 842 is 2 x 421

Prime Factorization of 211 is 211

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(444, 560) = 62160

GCD(444, 560) = ( 444 x 560 ) / 62160

GCD(444, 560) = 248640 / 62160

GCD(444, 560) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 842

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

LCM(4, 842) = 1684

GCD(4, 842) = ( 4 x 842 ) / 1684

GCD(4, 842) = 3368 / 1684

GCD(4, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 211

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

LCM(2, 211) = 422

GCD(2, 211) = ( 2 x 211 ) / 422

GCD(2, 211) = 422 / 422

GCD(2, 211) = 1

GCD of 444, 560, 842, 211 is 1

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1. What is the GCD of 444, 560, 842, 211?

GCD of 444, 560, 842, 211 is 1

2. Where do I get the detailed procedure to find GCD of 444, 560, 842, 211?

You can find a detailed procedure to find GCD of 444, 560, 842, 211 on our page.

3. How to find GCD of 444, 560, 842, 211 on a calculator?

You can find the GCD of 444, 560, 842, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.