GCD of 577, 959, 382, 422 Calculator

Given Input numbers are 577, 959, 382, 422

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 577, 959, 382, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 959, 382, 422 is 1.

Therefore, GCD of numbers 577, 959, 382, 422 is 1

Given Input Data is 577, 959, 382, 422

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

Prime Factorization of 577 is 577

Prime Factorization of 959 is 7 x 137

Prime Factorization of 382 is 2 x 191

Prime Factorization of 422 is 2 x 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(577, 959) = 553343

GCD(577, 959) = ( 577 x 959 ) / 553343

GCD(577, 959) = 553343 / 553343

GCD(577, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 577, 959, 382, 422 is 1

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1. What is the GCD of 577, 959, 382, 422?

GCD of 577, 959, 382, 422 is 1

2. Where do I get the detailed procedure to find GCD of 577, 959, 382, 422?

You can find a detailed procedure to find GCD of 577, 959, 382, 422 on our page.

3. How to find GCD of 577, 959, 382, 422 on a calculator?

You can find the GCD of 577, 959, 382, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.