GCD of 390, 469, 982, 138 Calculator

Given Input numbers are 390, 469, 982, 138

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 390, 469, 982, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 469, 982, 138 is 1.

Therefore, GCD of numbers 390, 469, 982, 138 is 1

Given Input Data is 390, 469, 982, 138

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 469 is 7 x 67

Prime Factorization of 982 is 2 x 491

Prime Factorization of 138 is 2 x 3 x 23

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(390, 469) = 182910

GCD(390, 469) = ( 390 x 469 ) / 182910

GCD(390, 469) = 182910 / 182910

GCD(390, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 390, 469, 982, 138 is 1

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1. What is the GCD of 390, 469, 982, 138?

GCD of 390, 469, 982, 138 is 1

2. Where do I get the detailed procedure to find GCD of 390, 469, 982, 138?

You can find a detailed procedure to find GCD of 390, 469, 982, 138 on our page.

3. How to find GCD of 390, 469, 982, 138 on a calculator?

You can find the GCD of 390, 469, 982, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.