GCD of 694, 317, 240, 735 Calculator

Given Input numbers are 694, 317, 240, 735

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 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 694, 317, 240, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 317, 240, 735 is 1.

Therefore, GCD of numbers 694, 317, 240, 735 is 1

Given Input Data is 694, 317, 240, 735

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 317 is 317

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 735 is 3 x 5 x 7 x 7

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, 317) = 219998

GCD(694, 317) = ( 694 x 317 ) / 219998

GCD(694, 317) = 219998 / 219998

GCD(694, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 694, 317, 240, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 811, 959, 352
• GCD of 106, 225, 334, 433
• GCD of 720, 630, 140, 437
• GCD of 401, 147, 912, 801
• GCD of 532, 270, 232, 352

1. What is the GCD of 694, 317, 240, 735?

GCD of 694, 317, 240, 735 is 1

2. Where do I get the detailed procedure to find GCD of 694, 317, 240, 735?

You can find a detailed procedure to find GCD of 694, 317, 240, 735 on our page.

3. How to find GCD of 694, 317, 240, 735 on a calculator?

You can find the GCD of 694, 317, 240, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.