GCD of 983, 567, 84, 874 Calculator

Given Input numbers are 983, 567, 84, 874

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 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 983, 567, 84, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 567, 84, 874 is 1.

Therefore, GCD of numbers 983, 567, 84, 874 is 1

Given Input Data is 983, 567, 84, 874

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

Prime Factorization of 983 is 983

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 874 is 2 x 19 x 23

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, 567) = 557361

GCD(983, 567) = ( 983 x 567 ) / 557361

GCD(983, 567) = 557361 / 557361

GCD(983, 567) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 983, 567, 84, 874 is 1

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1. What is the GCD of 983, 567, 84, 874?

GCD of 983, 567, 84, 874 is 1

2. Where do I get the detailed procedure to find GCD of 983, 567, 84, 874?

You can find a detailed procedure to find GCD of 983, 567, 84, 874 on our page.

3. How to find GCD of 983, 567, 84, 874 on a calculator?

You can find the GCD of 983, 567, 84, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.