GCD of 982, 413, 15, 659 Calculator

Given Input numbers are 982, 413, 15, 659

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

Divisors of 982

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

1, 2, 491, 982

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 982, 413, 15, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 413, 15, 659 is 1.

Therefore, GCD of numbers 982, 413, 15, 659 is 1

Given Input Data is 982, 413, 15, 659

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 413 is 7 x 59

Prime Factorization of 15 is 3 x 5

Prime Factorization of 659 is 659

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(982, 413) = 405566

GCD(982, 413) = ( 982 x 413 ) / 405566

GCD(982, 413) = 405566 / 405566

GCD(982, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 982, 413, 15, 659 is 1

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1. What is the GCD of 982, 413, 15, 659?

GCD of 982, 413, 15, 659 is 1

2. Where do I get the detailed procedure to find GCD of 982, 413, 15, 659?

You can find a detailed procedure to find GCD of 982, 413, 15, 659 on our page.

3. How to find GCD of 982, 413, 15, 659 on a calculator?

You can find the GCD of 982, 413, 15, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.