GCD of 982, 508, 99, 547 Calculator

Given Input numbers are 982, 508, 99, 547

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 982, 508, 99, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 508, 99, 547 is 1.

Therefore, GCD of numbers 982, 508, 99, 547 is 1

Given Input Data is 982, 508, 99, 547

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 547 is 547

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(982, 508) = 249428

GCD(982, 508) = ( 982 x 508 ) / 249428

GCD(982, 508) = 498856 / 249428

GCD(982, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 1

GCD of 982, 508, 99, 547 is 1

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1. What is the GCD of 982, 508, 99, 547?

GCD of 982, 508, 99, 547 is 1

2. Where do I get the detailed procedure to find GCD of 982, 508, 99, 547?

You can find a detailed procedure to find GCD of 982, 508, 99, 547 on our page.

3. How to find GCD of 982, 508, 99, 547 on a calculator?

You can find the GCD of 982, 508, 99, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.