GCD of 697, 679, 458 Calculator

Given Input numbers are 697, 679, 458

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 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 697, 679, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 679, 458 is 1.

Therefore, GCD of numbers 697, 679, 458 is 1

Given Input Data is 697, 679, 458

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 679 is 7 x 97

Prime Factorization of 458 is 2 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(697, 679) = 473263

GCD(697, 679) = ( 697 x 679 ) / 473263

GCD(697, 679) = 473263 / 473263

GCD(697, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 697, 679, 458 is 1

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1. What is the GCD of 697, 679, 458?

GCD of 697, 679, 458 is 1

2. Where do I get the detailed procedure to find GCD of 697, 679, 458?

You can find a detailed procedure to find GCD of 697, 679, 458 on our page.

3. How to find GCD of 697, 679, 458 on a calculator?

You can find the GCD of 697, 679, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.