GCD of 789, 677, 459, 528 Calculator

Given Input numbers are 789, 677, 459, 528

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 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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

Greatest Common Divisior

We found the divisors of 789, 677, 459, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 677, 459, 528 is 1.

Therefore, GCD of numbers 789, 677, 459, 528 is 1

Given Input Data is 789, 677, 459, 528

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 677 is 677

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 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, 677) = 534153

GCD(789, 677) = ( 789 x 677 ) / 534153

GCD(789, 677) = 534153 / 534153

GCD(789, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 789, 677, 459, 528 is 1

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1. What is the GCD of 789, 677, 459, 528?

GCD of 789, 677, 459, 528 is 1

2. Where do I get the detailed procedure to find GCD of 789, 677, 459, 528?

You can find a detailed procedure to find GCD of 789, 677, 459, 528 on our page.

3. How to find GCD of 789, 677, 459, 528 on a calculator?

You can find the GCD of 789, 677, 459, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.