GCD of 96, 506, 406, 577 Calculator

Given Input numbers are 96, 506, 406, 577

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 96, 506, 406, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 506, 406, 577 is 1.

Therefore, GCD of numbers 96, 506, 406, 577 is 1

Given Input Data is 96, 506, 406, 577

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 577 is 577

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(96, 506) = 24288

GCD(96, 506) = ( 96 x 506 ) / 24288

GCD(96, 506) = 48576 / 24288

GCD(96, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 406

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

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

GCD(2, 406) = 812 / 406

GCD(2, 406) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 577

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

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

GCD(2, 577) = 1154 / 1154

GCD(2, 577) = 1

GCD of 96, 506, 406, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 594, 145, 546
• GCD of 79, 720, 613, 694
• GCD of 23, 321, 720, 459
• GCD of 85, 743, 742, 861
• GCD of 53, 327, 341, 708

1. What is the GCD of 96, 506, 406, 577?

GCD of 96, 506, 406, 577 is 1

2. Where do I get the detailed procedure to find GCD of 96, 506, 406, 577?

You can find a detailed procedure to find GCD of 96, 506, 406, 577 on our page.

3. How to find GCD of 96, 506, 406, 577 on a calculator?

You can find the GCD of 96, 506, 406, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.