GCD of 528, 529, 789, 402 Calculator

Given Input numbers are 528, 529, 789, 402

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

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 789

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

1, 3, 263, 789

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 528, 529, 789, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 529, 789, 402 is 1.

Therefore, GCD of numbers 528, 529, 789, 402 is 1

Given Input Data is 528, 529, 789, 402

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

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 789 is 3 x 263

Prime Factorization of 402 is 2 x 3 x 67

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(528, 529) = 279312

GCD(528, 529) = ( 528 x 529 ) / 279312

GCD(528, 529) = 279312 / 279312

GCD(528, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 528, 529, 789, 402 is 1

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1. What is the GCD of 528, 529, 789, 402?

GCD of 528, 529, 789, 402 is 1

2. Where do I get the detailed procedure to find GCD of 528, 529, 789, 402?

You can find a detailed procedure to find GCD of 528, 529, 789, 402 on our page.

3. How to find GCD of 528, 529, 789, 402 on a calculator?

You can find the GCD of 528, 529, 789, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.