GCD of 180, 831, 317, 988 Calculator

Given Input numbers are 180, 831, 317, 988

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

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 180, 831, 317, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 831, 317, 988 is 1.

Therefore, GCD of numbers 180, 831, 317, 988 is 1

Given Input Data is 180, 831, 317, 988

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 831 is 3 x 277

Prime Factorization of 317 is 317

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(180, 831) = 49860

GCD(180, 831) = ( 180 x 831 ) / 49860

GCD(180, 831) = 149580 / 49860

GCD(180, 831) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 317

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

LCM(3, 317) = 951

GCD(3, 317) = ( 3 x 317 ) / 951

GCD(3, 317) = 951 / 951

GCD(3, 317) = 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 180, 831, 317, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 343, 400, 899
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• GCD of 537, 223, 263, 595

1. What is the GCD of 180, 831, 317, 988?

GCD of 180, 831, 317, 988 is 1

2. Where do I get the detailed procedure to find GCD of 180, 831, 317, 988?

You can find a detailed procedure to find GCD of 180, 831, 317, 988 on our page.

3. How to find GCD of 180, 831, 317, 988 on a calculator?

You can find the GCD of 180, 831, 317, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.