GCD of 687, 467, 712, 457 Calculator

Given Input numbers are 687, 467, 712, 457

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 712

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

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 687, 467, 712, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 467, 712, 457 is 1.

Therefore, GCD of numbers 687, 467, 712, 457 is 1

Given Input Data is 687, 467, 712, 457

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 467 is 467

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

Prime Factorization of 457 is 457

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(687, 467) = 320829

GCD(687, 467) = ( 687 x 467 ) / 320829

GCD(687, 467) = 320829 / 320829

GCD(687, 467) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 687, 467, 712, 457 is 1

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1. What is the GCD of 687, 467, 712, 457?

GCD of 687, 467, 712, 457 is 1

2. Where do I get the detailed procedure to find GCD of 687, 467, 712, 457?

You can find a detailed procedure to find GCD of 687, 467, 712, 457 on our page.

3. How to find GCD of 687, 467, 712, 457 on a calculator?

You can find the GCD of 687, 467, 712, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.