GCD of 663, 658, 874, 584 Calculator

Given Input numbers are 663, 658, 874, 584

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 663, 658, 874, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 658, 874, 584 is 1.

Therefore, GCD of numbers 663, 658, 874, 584 is 1

Given Input Data is 663, 658, 874, 584

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(663, 658) = 436254

GCD(663, 658) = ( 663 x 658 ) / 436254

GCD(663, 658) = 436254 / 436254

GCD(663, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 663, 658, 874, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 784, 255, 834
• GCD of 956, 727, 269, 261
• GCD of 158, 322, 622, 715
• GCD of 746, 449, 874, 505
• GCD of 341, 576, 448, 984

1. What is the GCD of 663, 658, 874, 584?

GCD of 663, 658, 874, 584 is 1

2. Where do I get the detailed procedure to find GCD of 663, 658, 874, 584?

You can find a detailed procedure to find GCD of 663, 658, 874, 584 on our page.

3. How to find GCD of 663, 658, 874, 584 on a calculator?

You can find the GCD of 663, 658, 874, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.