GCD of 506, 407, 72, 754 Calculator

Given Input numbers are 506, 407, 72, 754

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 407

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

1, 11, 37, 407

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 506, 407, 72, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 407, 72, 754 is 1.

Therefore, GCD of numbers 506, 407, 72, 754 is 1

Given Input Data is 506, 407, 72, 754

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 407 is 11 x 37

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 754 is 2 x 13 x 29

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(506, 407) = 18722

GCD(506, 407) = ( 506 x 407 ) / 18722

GCD(506, 407) = 205942 / 18722

GCD(506, 407) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 72

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

LCM(11, 72) = 792

GCD(11, 72) = ( 11 x 72 ) / 792

GCD(11, 72) = 792 / 792

GCD(11, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 506, 407, 72, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 357, 51, 553
• GCD of 593, 375, 75, 576
• GCD of 540, 890, 26, 291
• GCD of 657, 761, 72, 513
• GCD of 309, 809, 58, 300

1. What is the GCD of 506, 407, 72, 754?

GCD of 506, 407, 72, 754 is 1

2. Where do I get the detailed procedure to find GCD of 506, 407, 72, 754?

You can find a detailed procedure to find GCD of 506, 407, 72, 754 on our page.

3. How to find GCD of 506, 407, 72, 754 on a calculator?

You can find the GCD of 506, 407, 72, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.