GCD of 383, 509, 706, 664 Calculator

Given Input numbers are 383, 509, 706, 664

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

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 383, 509, 706, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 509, 706, 664 is 1.

Therefore, GCD of numbers 383, 509, 706, 664 is 1

Given Input Data is 383, 509, 706, 664

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

Prime Factorization of 383 is 383

Prime Factorization of 509 is 509

Prime Factorization of 706 is 2 x 353

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(383, 509) = 194947

GCD(383, 509) = ( 383 x 509 ) / 194947

GCD(383, 509) = 194947 / 194947

GCD(383, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 383, 509, 706, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 766, 111, 426
• GCD of 318, 448, 200, 444
• GCD of 711, 658, 709, 368
• GCD of 451, 696, 670, 515
• GCD of 788, 746, 494, 540

1. What is the GCD of 383, 509, 706, 664?

GCD of 383, 509, 706, 664 is 1

2. Where do I get the detailed procedure to find GCD of 383, 509, 706, 664?

You can find a detailed procedure to find GCD of 383, 509, 706, 664 on our page.

3. How to find GCD of 383, 509, 706, 664 on a calculator?

You can find the GCD of 383, 509, 706, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.