GCD of 727, 523, 860, 687 Calculator

Given Input numbers are 727, 523, 860, 687

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 687

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

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 727, 523, 860, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 523, 860, 687 is 1.

Therefore, GCD of numbers 727, 523, 860, 687 is 1

Given Input Data is 727, 523, 860, 687

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

Prime Factorization of 727 is 727

Prime Factorization of 523 is 523

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 687 is 3 x 229

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(727, 523) = 380221

GCD(727, 523) = ( 727 x 523 ) / 380221

GCD(727, 523) = 380221 / 380221

GCD(727, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 727, 523, 860, 687 is 1

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1. What is the GCD of 727, 523, 860, 687?

GCD of 727, 523, 860, 687 is 1

2. Where do I get the detailed procedure to find GCD of 727, 523, 860, 687?

You can find a detailed procedure to find GCD of 727, 523, 860, 687 on our page.

3. How to find GCD of 727, 523, 860, 687 on a calculator?

You can find the GCD of 727, 523, 860, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.