GCD of 499, 988, 578, 804 Calculator

Given Input numbers are 499, 988, 578, 804

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 499, 988, 578, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 988, 578, 804 is 1.

Therefore, GCD of numbers 499, 988, 578, 804 is 1

Given Input Data is 499, 988, 578, 804

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

Prime Factorization of 499 is 499

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(499, 988) = 493012

GCD(499, 988) = ( 499 x 988 ) / 493012

GCD(499, 988) = 493012 / 493012

GCD(499, 988) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 499, 988, 578, 804 is 1

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1. What is the GCD of 499, 988, 578, 804?

GCD of 499, 988, 578, 804 is 1

2. Where do I get the detailed procedure to find GCD of 499, 988, 578, 804?

You can find a detailed procedure to find GCD of 499, 988, 578, 804 on our page.

3. How to find GCD of 499, 988, 578, 804 on a calculator?

You can find the GCD of 499, 988, 578, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.