GCD of 920, 983, 82, 398 Calculator

Given Input numbers are 920, 983, 82, 398

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 920, 983, 82, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 983, 82, 398 is 1.

Therefore, GCD of numbers 920, 983, 82, 398 is 1

Given Input Data is 920, 983, 82, 398

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 983 is 983

Prime Factorization of 82 is 2 x 41

Prime Factorization of 398 is 2 x 199

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(920, 983) = 904360

GCD(920, 983) = ( 920 x 983 ) / 904360

GCD(920, 983) = 904360 / 904360

GCD(920, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 920, 983, 82, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 247, 18, 971
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• GCD of 994, 893, 93, 356
• GCD of 510, 942, 37, 172
• GCD of 731, 401, 44, 212

1. What is the GCD of 920, 983, 82, 398?

GCD of 920, 983, 82, 398 is 1

2. Where do I get the detailed procedure to find GCD of 920, 983, 82, 398?

You can find a detailed procedure to find GCD of 920, 983, 82, 398 on our page.

3. How to find GCD of 920, 983, 82, 398 on a calculator?

You can find the GCD of 920, 983, 82, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.