GCD of 397, 273, 548, 659 Calculator

Given Input numbers are 397, 273, 548, 659

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

Divisors of 397

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

1, 397

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 548

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

1, 2, 4, 137, 274, 548

Divisors of 659

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

1, 659

Greatest Common Divisior

We found the divisors of 397, 273, 548, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 273, 548, 659 is 1.

Therefore, GCD of numbers 397, 273, 548, 659 is 1

Given Input Data is 397, 273, 548, 659

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

Prime Factorization of 397 is 397

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 659 is 659

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(397, 273) = 108381

GCD(397, 273) = ( 397 x 273 ) / 108381

GCD(397, 273) = 108381 / 108381

GCD(397, 273) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 397, 273, 548, 659 is 1

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1. What is the GCD of 397, 273, 548, 659?

GCD of 397, 273, 548, 659 is 1

2. Where do I get the detailed procedure to find GCD of 397, 273, 548, 659?

You can find a detailed procedure to find GCD of 397, 273, 548, 659 on our page.

3. How to find GCD of 397, 273, 548, 659 on a calculator?

You can find the GCD of 397, 273, 548, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.