GCD of 434, 704, 17, 924 Calculator

Given Input numbers are 434, 704, 17, 924

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 434, 704, 17, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 704, 17, 924 is 1.

Therefore, GCD of numbers 434, 704, 17, 924 is 1

Given Input Data is 434, 704, 17, 924

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 17 is 17

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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(434, 704) = 152768

GCD(434, 704) = ( 434 x 704 ) / 152768

GCD(434, 704) = 305536 / 152768

GCD(434, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 434, 704, 17, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 490, 76, 849
• GCD of 813, 110, 53, 486
• GCD of 384, 410, 20, 773
• GCD of 337, 470, 85, 605
• GCD of 522, 380, 76, 849

1. What is the GCD of 434, 704, 17, 924?

GCD of 434, 704, 17, 924 is 1

2. Where do I get the detailed procedure to find GCD of 434, 704, 17, 924?

You can find a detailed procedure to find GCD of 434, 704, 17, 924 on our page.

3. How to find GCD of 434, 704, 17, 924 on a calculator?

You can find the GCD of 434, 704, 17, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.