GCD of 402, 717, 13, 929 Calculator

Given Input numbers are 402, 717, 13, 929

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 13

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

1, 13

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 402, 717, 13, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 717, 13, 929 is 1.

Therefore, GCD of numbers 402, 717, 13, 929 is 1

Given Input Data is 402, 717, 13, 929

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 717 is 3 x 239

Prime Factorization of 13 is 13

Prime Factorization of 929 is 929

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(402, 717) = 96078

GCD(402, 717) = ( 402 x 717 ) / 96078

GCD(402, 717) = 288234 / 96078

GCD(402, 717) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

GCD of 402, 717, 13, 929 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 588, 76, 684
• GCD of 373, 127, 40, 521
• GCD of 969, 666, 11, 862
• GCD of 294, 605, 68, 322
• GCD of 932, 170, 96, 939

1. What is the GCD of 402, 717, 13, 929?

GCD of 402, 717, 13, 929 is 1

2. Where do I get the detailed procedure to find GCD of 402, 717, 13, 929?

You can find a detailed procedure to find GCD of 402, 717, 13, 929 on our page.

3. How to find GCD of 402, 717, 13, 929 on a calculator?

You can find the GCD of 402, 717, 13, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.