GCD of 89, 531, 315, 988 Calculator

Given Input numbers are 89, 531, 315, 988

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

Greatest Common Divisior

We found the divisors of 89, 531, 315, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 531, 315, 988 is 1.

Therefore, GCD of numbers 89, 531, 315, 988 is 1

Given Input Data is 89, 531, 315, 988

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

Prime Factorization of 89 is 89

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 315 is 3 x 3 x 5 x 7

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

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(89, 531) = 47259

GCD(89, 531) = ( 89 x 531 ) / 47259

GCD(89, 531) = 47259 / 47259

GCD(89, 531) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 89, 531, 315, 988 is 1

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• GCD of 64, 129, 274, 330
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• GCD of 65, 451, 385, 280

1. What is the GCD of 89, 531, 315, 988?

GCD of 89, 531, 315, 988 is 1

2. Where do I get the detailed procedure to find GCD of 89, 531, 315, 988?

You can find a detailed procedure to find GCD of 89, 531, 315, 988 on our page.

3. How to find GCD of 89, 531, 315, 988 on a calculator?

You can find the GCD of 89, 531, 315, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.