GCD of 983, 552, 398, 273 Calculator

Given Input numbers are 983, 552, 398, 273

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 398

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

1, 2, 199, 398

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 983, 552, 398, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 552, 398, 273 is 1.

Therefore, GCD of numbers 983, 552, 398, 273 is 1

Given Input Data is 983, 552, 398, 273

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

Prime Factorization of 983 is 983

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 398 is 2 x 199

Prime Factorization of 273 is 3 x 7 x 13

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, 552) = 542616

GCD(983, 552) = ( 983 x 552 ) / 542616

GCD(983, 552) = 542616 / 542616

GCD(983, 552) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 983, 552, 398, 273 is 1

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1. What is the GCD of 983, 552, 398, 273?

GCD of 983, 552, 398, 273 is 1

2. Where do I get the detailed procedure to find GCD of 983, 552, 398, 273?

You can find a detailed procedure to find GCD of 983, 552, 398, 273 on our page.

3. How to find GCD of 983, 552, 398, 273 on a calculator?

You can find the GCD of 983, 552, 398, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.