GCD of 657, 144, 58, 806 Calculator

Given Input numbers are 657, 144, 58, 806

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 657, 144, 58, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 144, 58, 806 is 1.

Therefore, GCD of numbers 657, 144, 58, 806 is 1

Given Input Data is 657, 144, 58, 806

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 806 is 2 x 13 x 31

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(657, 144) = 10512

GCD(657, 144) = ( 657 x 144 ) / 10512

GCD(657, 144) = 94608 / 10512

GCD(657, 144) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 58

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

LCM(9, 58) = 522

GCD(9, 58) = ( 9 x 58 ) / 522

GCD(9, 58) = 522 / 522

GCD(9, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 657, 144, 58, 806 is 1

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1. What is the GCD of 657, 144, 58, 806?

GCD of 657, 144, 58, 806 is 1

2. Where do I get the detailed procedure to find GCD of 657, 144, 58, 806?

You can find a detailed procedure to find GCD of 657, 144, 58, 806 on our page.

3. How to find GCD of 657, 144, 58, 806 on a calculator?

You can find the GCD of 657, 144, 58, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.