GCD of 30, 426, 483, 989 Calculator

Given Input numbers are 30, 426, 483, 989

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

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 30, 426, 483, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 426, 483, 989 is 1.

Therefore, GCD of numbers 30, 426, 483, 989 is 1

Given Input Data is 30, 426, 483, 989

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 483 is 3 x 7 x 23

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(30, 426) = 2130

GCD(30, 426) = ( 30 x 426 ) / 2130

GCD(30, 426) = 12780 / 2130

GCD(30, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 483

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

LCM(6, 483) = 966

GCD(6, 483) = ( 6 x 483 ) / 966

GCD(6, 483) = 2898 / 966

GCD(6, 483) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 989

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

LCM(3, 989) = 2967

GCD(3, 989) = ( 3 x 989 ) / 2967

GCD(3, 989) = 2967 / 2967

GCD(3, 989) = 1

GCD of 30, 426, 483, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 555, 700, 506
• GCD of 56, 848, 370, 605
• GCD of 34, 186, 831, 781
• GCD of 86, 990, 846, 354
• GCD of 53, 762, 291, 942

1. What is the GCD of 30, 426, 483, 989?

GCD of 30, 426, 483, 989 is 1

2. Where do I get the detailed procedure to find GCD of 30, 426, 483, 989?

You can find a detailed procedure to find GCD of 30, 426, 483, 989 on our page.

3. How to find GCD of 30, 426, 483, 989 on a calculator?

You can find the GCD of 30, 426, 483, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.