GCD of 999, 147, 313, 604 Calculator

Given Input numbers are 999, 147, 313, 604

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 999, 147, 313, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 147, 313, 604 is 1.

Therefore, GCD of numbers 999, 147, 313, 604 is 1

Given Input Data is 999, 147, 313, 604

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 313 is 313

Prime Factorization of 604 is 2 x 2 x 151

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(999, 147) = 48951

GCD(999, 147) = ( 999 x 147 ) / 48951

GCD(999, 147) = 146853 / 48951

GCD(999, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 313

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

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

GCD(3, 313) = 939 / 939

GCD(3, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 999, 147, 313, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 596, 684, 300
• GCD of 738, 261, 380, 438
• GCD of 793, 159, 267, 897
• GCD of 723, 373, 970, 729
• GCD of 669, 276, 244, 149

1. What is the GCD of 999, 147, 313, 604?

GCD of 999, 147, 313, 604 is 1

2. Where do I get the detailed procedure to find GCD of 999, 147, 313, 604?

You can find a detailed procedure to find GCD of 999, 147, 313, 604 on our page.

3. How to find GCD of 999, 147, 313, 604 on a calculator?

You can find the GCD of 999, 147, 313, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.