GCD of 13, 335, 992, 659 Calculator

Given Input numbers are 13, 335, 992, 659

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 13, 335, 992, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 335, 992, 659 is 1.

Therefore, GCD of numbers 13, 335, 992, 659 is 1

Given Input Data is 13, 335, 992, 659

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

Prime Factorization of 13 is 13

Prime Factorization of 335 is 5 x 67

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(13, 335) = 4355

GCD(13, 335) = ( 13 x 335 ) / 4355

GCD(13, 335) = 4355 / 4355

GCD(13, 335) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 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 13, 335, 992, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 638, 484, 585
• GCD of 61, 859, 693, 257
• GCD of 65, 617, 128, 626
• GCD of 18, 548, 977, 143
• GCD of 46, 171, 574, 967

1. What is the GCD of 13, 335, 992, 659?

GCD of 13, 335, 992, 659 is 1

2. Where do I get the detailed procedure to find GCD of 13, 335, 992, 659?

You can find a detailed procedure to find GCD of 13, 335, 992, 659 on our page.

3. How to find GCD of 13, 335, 992, 659 on a calculator?

You can find the GCD of 13, 335, 992, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.