GCD of 577, 218, 83, 320 Calculator

Given Input numbers are 577, 218, 83, 320

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 577, 218, 83, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 218, 83, 320 is 1.

Therefore, GCD of numbers 577, 218, 83, 320 is 1

Given Input Data is 577, 218, 83, 320

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

Prime Factorization of 577 is 577

Prime Factorization of 218 is 2 x 109

Prime Factorization of 83 is 83

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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, 218) = 125786

GCD(577, 218) = ( 577 x 218 ) / 125786

GCD(577, 218) = 125786 / 125786

GCD(577, 218) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 577, 218, 83, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 891, 62, 816
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• GCD of 515, 754, 66, 882

1. What is the GCD of 577, 218, 83, 320?

GCD of 577, 218, 83, 320 is 1

2. Where do I get the detailed procedure to find GCD of 577, 218, 83, 320?

You can find a detailed procedure to find GCD of 577, 218, 83, 320 on our page.

3. How to find GCD of 577, 218, 83, 320 on a calculator?

You can find the GCD of 577, 218, 83, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.