GCD of 796, 402, 56, 459 Calculator

Given Input numbers are 796, 402, 56, 459

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 796, 402, 56, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 402, 56, 459 is 1.

Therefore, GCD of numbers 796, 402, 56, 459 is 1

Given Input Data is 796, 402, 56, 459

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(796, 402) = 159996

GCD(796, 402) = ( 796 x 402 ) / 159996

GCD(796, 402) = 319992 / 159996

GCD(796, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

GCD of 796, 402, 56, 459 is 1

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1. What is the GCD of 796, 402, 56, 459?

GCD of 796, 402, 56, 459 is 1

2. Where do I get the detailed procedure to find GCD of 796, 402, 56, 459?

You can find a detailed procedure to find GCD of 796, 402, 56, 459 on our page.

3. How to find GCD of 796, 402, 56, 459 on a calculator?

You can find the GCD of 796, 402, 56, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.