GCD of 789, 500, 99, 465 Calculator

Given Input numbers are 789, 500, 99, 465

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 789, 500, 99, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 500, 99, 465 is 1.

Therefore, GCD of numbers 789, 500, 99, 465 is 1

Given Input Data is 789, 500, 99, 465

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 99 is 3 x 3 x 11

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(789, 500) = 394500

GCD(789, 500) = ( 789 x 500 ) / 394500

GCD(789, 500) = 394500 / 394500

GCD(789, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 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 789, 500, 99, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 382, 53, 992
• GCD of 641, 188, 41, 639
• GCD of 851, 937, 15, 786
• GCD of 684, 629, 40, 943
• GCD of 498, 287, 77, 122

1. What is the GCD of 789, 500, 99, 465?

GCD of 789, 500, 99, 465 is 1

2. Where do I get the detailed procedure to find GCD of 789, 500, 99, 465?

You can find a detailed procedure to find GCD of 789, 500, 99, 465 on our page.

3. How to find GCD of 789, 500, 99, 465 on a calculator?

You can find the GCD of 789, 500, 99, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.