GCD of 983, 264, 87, 814 Calculator

Given Input numbers are 983, 264, 87, 814

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 87

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

1, 3, 29, 87

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 983, 264, 87, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 264, 87, 814 is 1.

Therefore, GCD of numbers 983, 264, 87, 814 is 1

Given Input Data is 983, 264, 87, 814

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

Prime Factorization of 983 is 983

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 87 is 3 x 29

Prime Factorization of 814 is 2 x 11 x 37

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, 264) = 259512

GCD(983, 264) = ( 983 x 264 ) / 259512

GCD(983, 264) = 259512 / 259512

GCD(983, 264) = 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 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 983, 264, 87, 814 is 1

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1. What is the GCD of 983, 264, 87, 814?

GCD of 983, 264, 87, 814 is 1

2. Where do I get the detailed procedure to find GCD of 983, 264, 87, 814?

You can find a detailed procedure to find GCD of 983, 264, 87, 814 on our page.

3. How to find GCD of 983, 264, 87, 814 on a calculator?

You can find the GCD of 983, 264, 87, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.