GCD of 705, 363, 407, 733 Calculator

Given Input numbers are 705, 363, 407, 733

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 705, 363, 407, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 363, 407, 733 is 1.

Therefore, GCD of numbers 705, 363, 407, 733 is 1

Given Input Data is 705, 363, 407, 733

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 407 is 11 x 37

Prime Factorization of 733 is 733

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(705, 363) = 85305

GCD(705, 363) = ( 705 x 363 ) / 85305

GCD(705, 363) = 255915 / 85305

GCD(705, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 407

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

LCM(3, 407) = 1221

GCD(3, 407) = ( 3 x 407 ) / 1221

GCD(3, 407) = 1221 / 1221

GCD(3, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 705, 363, 407, 733 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 153, 287, 757
• GCD of 209, 901, 562, 100
• GCD of 946, 943, 520, 706
• GCD of 763, 610, 967, 931
• GCD of 139, 818, 872, 720

1. What is the GCD of 705, 363, 407, 733?

GCD of 705, 363, 407, 733 is 1

2. Where do I get the detailed procedure to find GCD of 705, 363, 407, 733?

You can find a detailed procedure to find GCD of 705, 363, 407, 733 on our page.

3. How to find GCD of 705, 363, 407, 733 on a calculator?

You can find the GCD of 705, 363, 407, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.