GCD of 983, 777, 13, 465 Calculator

Given Input numbers are 983, 777, 13, 465

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

Divisors of 983

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

1, 983

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 983, 777, 13, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 777, 13, 465 is 1.

Therefore, GCD of numbers 983, 777, 13, 465 is 1

Given Input Data is 983, 777, 13, 465

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

Prime Factorization of 983 is 983

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 13 is 13

Prime Factorization of 465 is 3 x 5 x 31

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(983, 777) = 763791

GCD(983, 777) = ( 983 x 777 ) / 763791

GCD(983, 777) = 763791 / 763791

GCD(983, 777) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 983, 777, 13, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 260, 53, 804
• GCD of 918, 597, 12, 969
• GCD of 157, 256, 71, 338
• GCD of 629, 384, 82, 638
• GCD of 799, 850, 47, 549

1. What is the GCD of 983, 777, 13, 465?

GCD of 983, 777, 13, 465 is 1

2. Where do I get the detailed procedure to find GCD of 983, 777, 13, 465?

You can find a detailed procedure to find GCD of 983, 777, 13, 465 on our page.

3. How to find GCD of 983, 777, 13, 465 on a calculator?

You can find the GCD of 983, 777, 13, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.