GCD of 463, 683, 744, 730 Calculator

Given Input numbers are 463, 683, 744, 730

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 463, 683, 744, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 683, 744, 730 is 1.

Therefore, GCD of numbers 463, 683, 744, 730 is 1

Given Input Data is 463, 683, 744, 730

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

Prime Factorization of 463 is 463

Prime Factorization of 683 is 683

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 730 is 2 x 5 x 73

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(463, 683) = 316229

GCD(463, 683) = ( 463 x 683 ) / 316229

GCD(463, 683) = 316229 / 316229

GCD(463, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 463, 683, 744, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 136, 415, 696
• GCD of 101, 434, 179, 619
• GCD of 913, 719, 495, 506
• GCD of 300, 182, 831, 402
• GCD of 581, 273, 410, 376

1. What is the GCD of 463, 683, 744, 730?

GCD of 463, 683, 744, 730 is 1

2. Where do I get the detailed procedure to find GCD of 463, 683, 744, 730?

You can find a detailed procedure to find GCD of 463, 683, 744, 730 on our page.

3. How to find GCD of 463, 683, 744, 730 on a calculator?

You can find the GCD of 463, 683, 744, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.