GCD of 982, 272, 318, 525 Calculator

Given Input numbers are 982, 272, 318, 525

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 982, 272, 318, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 272, 318, 525 is 1.

Therefore, GCD of numbers 982, 272, 318, 525 is 1

Given Input Data is 982, 272, 318, 525

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 525 is 3 x 5 x 5 x 7

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, 272) = 133552

GCD(982, 272) = ( 982 x 272 ) / 133552

GCD(982, 272) = 267104 / 133552

GCD(982, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 525

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

LCM(2, 525) = 1050

GCD(2, 525) = ( 2 x 525 ) / 1050

GCD(2, 525) = 1050 / 1050

GCD(2, 525) = 1

GCD of 982, 272, 318, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 616, 768, 355
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• GCD of 719, 431, 658, 525
• GCD of 487, 907, 526, 746

1. What is the GCD of 982, 272, 318, 525?

GCD of 982, 272, 318, 525 is 1

2. Where do I get the detailed procedure to find GCD of 982, 272, 318, 525?

You can find a detailed procedure to find GCD of 982, 272, 318, 525 on our page.

3. How to find GCD of 982, 272, 318, 525 on a calculator?

You can find the GCD of 982, 272, 318, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.