GCD of 99, 617, 504, 983 Calculator

Given Input numbers are 99, 617, 504, 983

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 983

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

1, 983

Greatest Common Divisior

We found the divisors of 99, 617, 504, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 617, 504, 983 is 1.

Therefore, GCD of numbers 99, 617, 504, 983 is 1

Given Input Data is 99, 617, 504, 983

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 617 is 617

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 983 is 983

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(99, 617) = 61083

GCD(99, 617) = ( 99 x 617 ) / 61083

GCD(99, 617) = 61083 / 61083

GCD(99, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 99, 617, 504, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 363, 816, 235
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• GCD of 92, 172, 677, 670

1. What is the GCD of 99, 617, 504, 983?

GCD of 99, 617, 504, 983 is 1

2. Where do I get the detailed procedure to find GCD of 99, 617, 504, 983?

You can find a detailed procedure to find GCD of 99, 617, 504, 983 on our page.

3. How to find GCD of 99, 617, 504, 983 on a calculator?

You can find the GCD of 99, 617, 504, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.