GCD of 320, 575, 29, 694 Calculator

Given Input numbers are 320, 575, 29, 694

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 320, 575, 29, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 575, 29, 694 is 1.

Therefore, GCD of numbers 320, 575, 29, 694 is 1

Given Input Data is 320, 575, 29, 694

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 29 is 29

Prime Factorization of 694 is 2 x 347

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(320, 575) = 36800

GCD(320, 575) = ( 320 x 575 ) / 36800

GCD(320, 575) = 184000 / 36800

GCD(320, 575) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 29

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

LCM(5, 29) = 145

GCD(5, 29) = ( 5 x 29 ) / 145

GCD(5, 29) = 145 / 145

GCD(5, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 320, 575, 29, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 451, 20, 285
• GCD of 749, 523, 73, 911
• GCD of 770, 397, 54, 952
• GCD of 915, 574, 96, 178
• GCD of 757, 302, 38, 796

1. What is the GCD of 320, 575, 29, 694?

GCD of 320, 575, 29, 694 is 1

2. Where do I get the detailed procedure to find GCD of 320, 575, 29, 694?

You can find a detailed procedure to find GCD of 320, 575, 29, 694 on our page.

3. How to find GCD of 320, 575, 29, 694 on a calculator?

You can find the GCD of 320, 575, 29, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.