GCD of 39, 657, 983, 463 Calculator

Given Input numbers are 39, 657, 983, 463

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 39, 657, 983, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 657, 983, 463 is 1.

Therefore, GCD of numbers 39, 657, 983, 463 is 1

Given Input Data is 39, 657, 983, 463

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 983 is 983

Prime Factorization of 463 is 463

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(39, 657) = 8541

GCD(39, 657) = ( 39 x 657 ) / 8541

GCD(39, 657) = 25623 / 8541

GCD(39, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 983

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

LCM(3, 983) = 2949

GCD(3, 983) = ( 3 x 983 ) / 2949

GCD(3, 983) = 2949 / 2949

GCD(3, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 39, 657, 983, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 679, 583, 553
• GCD of 71, 882, 792, 839
• GCD of 41, 837, 843, 619
• GCD of 47, 636, 537, 330
• GCD of 56, 632, 808, 661

1. What is the GCD of 39, 657, 983, 463?

GCD of 39, 657, 983, 463 is 1

2. Where do I get the detailed procedure to find GCD of 39, 657, 983, 463?

You can find a detailed procedure to find GCD of 39, 657, 983, 463 on our page.

3. How to find GCD of 39, 657, 983, 463 on a calculator?

You can find the GCD of 39, 657, 983, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.