GCD of 982, 305, 179, 684 Calculator

Given Input numbers are 982, 305, 179, 684

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 982, 305, 179, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 305, 179, 684 is 1.

Therefore, GCD of numbers 982, 305, 179, 684 is 1

Given Input Data is 982, 305, 179, 684

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 305 is 5 x 61

Prime Factorization of 179 is 179

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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, 305) = 299510

GCD(982, 305) = ( 982 x 305 ) / 299510

GCD(982, 305) = 299510 / 299510

GCD(982, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 179

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

LCM(1, 179) = 179

GCD(1, 179) = ( 1 x 179 ) / 179

GCD(1, 179) = 179 / 179

GCD(1, 179) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 982, 305, 179, 684 is 1

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1. What is the GCD of 982, 305, 179, 684?

GCD of 982, 305, 179, 684 is 1

2. Where do I get the detailed procedure to find GCD of 982, 305, 179, 684?

You can find a detailed procedure to find GCD of 982, 305, 179, 684 on our page.

3. How to find GCD of 982, 305, 179, 684 on a calculator?

You can find the GCD of 982, 305, 179, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.