GCD of 988, 646, 83, 527 Calculator

Given Input numbers are 988, 646, 83, 527

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 988, 646, 83, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 646, 83, 527 is 1.

Therefore, GCD of numbers 988, 646, 83, 527 is 1

Given Input Data is 988, 646, 83, 527

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 83 is 83

Prime Factorization of 527 is 17 x 31

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(988, 646) = 16796

GCD(988, 646) = ( 988 x 646 ) / 16796

GCD(988, 646) = 638248 / 16796

GCD(988, 646) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 83

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

LCM(38, 83) = 3154

GCD(38, 83) = ( 38 x 83 ) / 3154

GCD(38, 83) = 3154 / 3154

GCD(38, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 988, 646, 83, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 117, 86, 784
• GCD of 192, 372, 20, 919
• GCD of 684, 684, 16, 603
• GCD of 781, 207, 83, 248
• GCD of 117, 146, 17, 601

1. What is the GCD of 988, 646, 83, 527?

GCD of 988, 646, 83, 527 is 1

2. Where do I get the detailed procedure to find GCD of 988, 646, 83, 527?

You can find a detailed procedure to find GCD of 988, 646, 83, 527 on our page.

3. How to find GCD of 988, 646, 83, 527 on a calculator?

You can find the GCD of 988, 646, 83, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.