GCD of 988, 311, 76, 462 Calculator

Given Input numbers are 988, 311, 76, 462

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 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 988, 311, 76, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 311, 76, 462 is 1.

Therefore, GCD of numbers 988, 311, 76, 462 is 1

Given Input Data is 988, 311, 76, 462

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 311 is 311

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 311) = 307268

GCD(988, 311) = ( 988 x 311 ) / 307268

GCD(988, 311) = 307268 / 307268

GCD(988, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 988, 311, 76, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 518, 41, 190
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• GCD of 587, 306, 72, 222

1. What is the GCD of 988, 311, 76, 462?

GCD of 988, 311, 76, 462 is 1

2. Where do I get the detailed procedure to find GCD of 988, 311, 76, 462?

You can find a detailed procedure to find GCD of 988, 311, 76, 462 on our page.

3. How to find GCD of 988, 311, 76, 462 on a calculator?

You can find the GCD of 988, 311, 76, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.