GCD of 419, 421, 20, 849 Calculator

Given Input numbers are 419, 421, 20, 849

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

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 419, 421, 20, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 419, 421, 20, 849 is 1.

Therefore, GCD of numbers 419, 421, 20, 849 is 1

Given Input Data is 419, 421, 20, 849

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

Prime Factorization of 419 is 419

Prime Factorization of 421 is 421

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 849 is 3 x 283

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(419, 421) = 176399

GCD(419, 421) = ( 419 x 421 ) / 176399

GCD(419, 421) = 176399 / 176399

GCD(419, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 419, 421, 20, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 542, 42, 823
• GCD of 816, 112, 72, 570
• GCD of 462, 874, 49, 398
• GCD of 884, 674, 44, 623
• GCD of 373, 643, 84, 365

1. What is the GCD of 419, 421, 20, 849?

GCD of 419, 421, 20, 849 is 1

2. Where do I get the detailed procedure to find GCD of 419, 421, 20, 849?

You can find a detailed procedure to find GCD of 419, 421, 20, 849 on our page.

3. How to find GCD of 419, 421, 20, 849 on a calculator?

You can find the GCD of 419, 421, 20, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.