GCD of 697, 874, 587 Calculator

Given Input numbers are 697, 874, 587

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 697, 874, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 874, 587 is 1.

Therefore, GCD of numbers 697, 874, 587 is 1

Given Input Data is 697, 874, 587

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 587 is 587

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(697, 874) = 609178

GCD(697, 874) = ( 697 x 874 ) / 609178

GCD(697, 874) = 609178 / 609178

GCD(697, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

GCD of 697, 874, 587 is 1

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1. What is the GCD of 697, 874, 587?

GCD of 697, 874, 587 is 1

2. Where do I get the detailed procedure to find GCD of 697, 874, 587?

You can find a detailed procedure to find GCD of 697, 874, 587 on our page.

3. How to find GCD of 697, 874, 587 on a calculator?

You can find the GCD of 697, 874, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.