GCD of 804, 301, 830, 989 Calculator

Given Input numbers are 804, 301, 830, 989

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

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 804, 301, 830, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 301, 830, 989 is 1.

Therefore, GCD of numbers 804, 301, 830, 989 is 1

Given Input Data is 804, 301, 830, 989

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

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 989 is 23 x 43

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(804, 301) = 242004

GCD(804, 301) = ( 804 x 301 ) / 242004

GCD(804, 301) = 242004 / 242004

GCD(804, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 804, 301, 830, 989 is 1

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1. What is the GCD of 804, 301, 830, 989?

GCD of 804, 301, 830, 989 is 1

2. Where do I get the detailed procedure to find GCD of 804, 301, 830, 989?

You can find a detailed procedure to find GCD of 804, 301, 830, 989 on our page.

3. How to find GCD of 804, 301, 830, 989 on a calculator?

You can find the GCD of 804, 301, 830, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.