GCD of 48, 423, 987, 331 Calculator

Given Input numbers are 48, 423, 987, 331

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 48, 423, 987, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 423, 987, 331 is 1.

Therefore, GCD of numbers 48, 423, 987, 331 is 1

Given Input Data is 48, 423, 987, 331

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 331 is 331

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(48, 423) = 6768

GCD(48, 423) = ( 48 x 423 ) / 6768

GCD(48, 423) = 20304 / 6768

GCD(48, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 987

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

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

GCD(3, 987) = 2961 / 987

GCD(3, 987) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 331

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

LCM(3, 331) = 993

GCD(3, 331) = ( 3 x 331 ) / 993

GCD(3, 331) = 993 / 993

GCD(3, 331) = 1

GCD of 48, 423, 987, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 178, 923, 344
• GCD of 50, 899, 527, 844
• GCD of 49, 383, 464, 541
• GCD of 18, 426, 140, 913
• GCD of 50, 624, 888, 477

1. What is the GCD of 48, 423, 987, 331?

GCD of 48, 423, 987, 331 is 1

2. Where do I get the detailed procedure to find GCD of 48, 423, 987, 331?

You can find a detailed procedure to find GCD of 48, 423, 987, 331 on our page.

3. How to find GCD of 48, 423, 987, 331 on a calculator?

You can find the GCD of 48, 423, 987, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.