GCD of 577, 638, 133, 658 Calculator

Given Input numbers are 577, 638, 133, 658

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 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 577, 638, 133, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 638, 133, 658 is 1.

Therefore, GCD of numbers 577, 638, 133, 658 is 1

Given Input Data is 577, 638, 133, 658

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

Prime Factorization of 577 is 577

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 133 is 7 x 19

Prime Factorization of 658 is 2 x 7 x 47

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, 638) = 368126

GCD(577, 638) = ( 577 x 638 ) / 368126

GCD(577, 638) = 368126 / 368126

GCD(577, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 577, 638, 133, 658 is 1

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1. What is the GCD of 577, 638, 133, 658?

GCD of 577, 638, 133, 658 is 1

2. Where do I get the detailed procedure to find GCD of 577, 638, 133, 658?

You can find a detailed procedure to find GCD of 577, 638, 133, 658 on our page.

3. How to find GCD of 577, 638, 133, 658 on a calculator?

You can find the GCD of 577, 638, 133, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.