GCD of 822, 419, 57, 371 Calculator

Given Input numbers are 822, 419, 57, 371

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 419

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

1, 419

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 822, 419, 57, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 419, 57, 371 is 1.

Therefore, GCD of numbers 822, 419, 57, 371 is 1

Given Input Data is 822, 419, 57, 371

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 419 is 419

Prime Factorization of 57 is 3 x 19

Prime Factorization of 371 is 7 x 53

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(822, 419) = 344418

GCD(822, 419) = ( 822 x 419 ) / 344418

GCD(822, 419) = 344418 / 344418

GCD(822, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 822, 419, 57, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 159, 24, 144
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• GCD of 695, 178, 33, 595
• GCD of 208, 948, 53, 598
• GCD of 913, 725, 82, 897

1. What is the GCD of 822, 419, 57, 371?

GCD of 822, 419, 57, 371 is 1

2. Where do I get the detailed procedure to find GCD of 822, 419, 57, 371?

You can find a detailed procedure to find GCD of 822, 419, 57, 371 on our page.

3. How to find GCD of 822, 419, 57, 371 on a calculator?

You can find the GCD of 822, 419, 57, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.