GCD of 694, 540, 31, 304 Calculator

Given Input numbers are 694, 540, 31, 304

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

Divisors of 694

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

1, 2, 347, 694

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 694, 540, 31, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 540, 31, 304 is 1.

Therefore, GCD of numbers 694, 540, 31, 304 is 1

Given Input Data is 694, 540, 31, 304

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 31 is 31

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(694, 540) = 187380

GCD(694, 540) = ( 694 x 540 ) / 187380

GCD(694, 540) = 374760 / 187380

GCD(694, 540) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 694, 540, 31, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 949, 17, 449
• GCD of 676, 948, 60, 645
• GCD of 387, 590, 66, 906
• GCD of 568, 621, 98, 281
• GCD of 178, 820, 51, 308

1. What is the GCD of 694, 540, 31, 304?

GCD of 694, 540, 31, 304 is 1

2. Where do I get the detailed procedure to find GCD of 694, 540, 31, 304?

You can find a detailed procedure to find GCD of 694, 540, 31, 304 on our page.

3. How to find GCD of 694, 540, 31, 304 on a calculator?

You can find the GCD of 694, 540, 31, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.