GCD of 659, 548, 397, 586 Calculator

Given Input numbers are 659, 548, 397, 586

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 659, 548, 397, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 548, 397, 586 is 1.

Therefore, GCD of numbers 659, 548, 397, 586 is 1

Given Input Data is 659, 548, 397, 586

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

Prime Factorization of 659 is 659

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 397 is 397

Prime Factorization of 586 is 2 x 293

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(659, 548) = 361132

GCD(659, 548) = ( 659 x 548 ) / 361132

GCD(659, 548) = 361132 / 361132

GCD(659, 548) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 659, 548, 397, 586 is 1

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1. What is the GCD of 659, 548, 397, 586?

GCD of 659, 548, 397, 586 is 1

2. Where do I get the detailed procedure to find GCD of 659, 548, 397, 586?

You can find a detailed procedure to find GCD of 659, 548, 397, 586 on our page.

3. How to find GCD of 659, 548, 397, 586 on a calculator?

You can find the GCD of 659, 548, 397, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.