GCD of 789, 385, 53, 516 Calculator

Given Input numbers are 789, 385, 53, 516

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 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 789, 385, 53, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 385, 53, 516 is 1.

Therefore, GCD of numbers 789, 385, 53, 516 is 1

Given Input Data is 789, 385, 53, 516

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 53 is 53

Prime Factorization of 516 is 2 x 2 x 3 x 43

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, 385) = 303765

GCD(789, 385) = ( 789 x 385 ) / 303765

GCD(789, 385) = 303765 / 303765

GCD(789, 385) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 789, 385, 53, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 526, 54, 530
• GCD of 351, 444, 28, 911
• GCD of 927, 916, 59, 709
• GCD of 943, 598, 39, 597
• GCD of 617, 232, 32, 961

1. What is the GCD of 789, 385, 53, 516?

GCD of 789, 385, 53, 516 is 1

2. Where do I get the detailed procedure to find GCD of 789, 385, 53, 516?

You can find a detailed procedure to find GCD of 789, 385, 53, 516 on our page.

3. How to find GCD of 789, 385, 53, 516 on a calculator?

You can find the GCD of 789, 385, 53, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.