GCD of 983, 119, 44, 369 Calculator

Given Input numbers are 983, 119, 44, 369

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

Divisors of 983

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

1, 983

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 983, 119, 44, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 119, 44, 369 is 1.

Therefore, GCD of numbers 983, 119, 44, 369 is 1

Given Input Data is 983, 119, 44, 369

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

Prime Factorization of 983 is 983

Prime Factorization of 119 is 7 x 17

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 369 is 3 x 3 x 41

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(983, 119) = 116977

GCD(983, 119) = ( 983 x 119 ) / 116977

GCD(983, 119) = 116977 / 116977

GCD(983, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 983, 119, 44, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 370, 24, 859
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• GCD of 324, 886, 99, 234

1. What is the GCD of 983, 119, 44, 369?

GCD of 983, 119, 44, 369 is 1

2. Where do I get the detailed procedure to find GCD of 983, 119, 44, 369?

You can find a detailed procedure to find GCD of 983, 119, 44, 369 on our page.

3. How to find GCD of 983, 119, 44, 369 on a calculator?

You can find the GCD of 983, 119, 44, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.