GCD of 657, 728, 578, 712 Calculator

Given Input numbers are 657, 728, 578, 712

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 657, 728, 578, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 728, 578, 712 is 1.

Therefore, GCD of numbers 657, 728, 578, 712 is 1

Given Input Data is 657, 728, 578, 712

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 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 712 is 2 x 2 x 2 x 89

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, 728) = 478296

GCD(657, 728) = ( 657 x 728 ) / 478296

GCD(657, 728) = 478296 / 478296

GCD(657, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 657, 728, 578, 712 is 1

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1. What is the GCD of 657, 728, 578, 712?

GCD of 657, 728, 578, 712 is 1

2. Where do I get the detailed procedure to find GCD of 657, 728, 578, 712?

You can find a detailed procedure to find GCD of 657, 728, 578, 712 on our page.

3. How to find GCD of 657, 728, 578, 712 on a calculator?

You can find the GCD of 657, 728, 578, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.