GCD of 983, 945, 87, 831 Calculator

Given Input numbers are 983, 945, 87, 831

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 983, 945, 87, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 945, 87, 831 is 1.

Therefore, GCD of numbers 983, 945, 87, 831 is 1

Given Input Data is 983, 945, 87, 831

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

Prime Factorization of 983 is 983

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 87 is 3 x 29

Prime Factorization of 831 is 3 x 277

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, 945) = 928935

GCD(983, 945) = ( 983 x 945 ) / 928935

GCD(983, 945) = 928935 / 928935

GCD(983, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 983, 945, 87, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 860, 91, 737
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• GCD of 857, 165, 54, 853

1. What is the GCD of 983, 945, 87, 831?

GCD of 983, 945, 87, 831 is 1

2. Where do I get the detailed procedure to find GCD of 983, 945, 87, 831?

You can find a detailed procedure to find GCD of 983, 945, 87, 831 on our page.

3. How to find GCD of 983, 945, 87, 831 on a calculator?

You can find the GCD of 983, 945, 87, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.