GCD of 789, 528, 629, 308 Calculator

Given Input numbers are 789, 528, 629, 308

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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 789, 528, 629, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 528, 629, 308 is 1.

Therefore, GCD of numbers 789, 528, 629, 308 is 1

Given Input Data is 789, 528, 629, 308

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 629 is 17 x 37

Prime Factorization of 308 is 2 x 2 x 7 x 11

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, 528) = 138864

GCD(789, 528) = ( 789 x 528 ) / 138864

GCD(789, 528) = 416592 / 138864

GCD(789, 528) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 629

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

LCM(3, 629) = 1887

GCD(3, 629) = ( 3 x 629 ) / 1887

GCD(3, 629) = 1887 / 1887

GCD(3, 629) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 789, 528, 629, 308 is 1

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1. What is the GCD of 789, 528, 629, 308?

GCD of 789, 528, 629, 308 is 1

2. Where do I get the detailed procedure to find GCD of 789, 528, 629, 308?

You can find a detailed procedure to find GCD of 789, 528, 629, 308 on our page.

3. How to find GCD of 789, 528, 629, 308 on a calculator?

You can find the GCD of 789, 528, 629, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.