GCD of 99, 463, 528, 438 Calculator

Given Input numbers are 99, 463, 528, 438

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 99, 463, 528, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 463, 528, 438 is 1.

Therefore, GCD of numbers 99, 463, 528, 438 is 1

Given Input Data is 99, 463, 528, 438

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 463 is 463

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

Prime Factorization of 438 is 2 x 3 x 73

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(99, 463) = 45837

GCD(99, 463) = ( 99 x 463 ) / 45837

GCD(99, 463) = 45837 / 45837

GCD(99, 463) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 99, 463, 528, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 559, 936, 716
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• GCD of 27, 463, 274, 945
• GCD of 78, 261, 677, 790

1. What is the GCD of 99, 463, 528, 438?

GCD of 99, 463, 528, 438 is 1

2. Where do I get the detailed procedure to find GCD of 99, 463, 528, 438?

You can find a detailed procedure to find GCD of 99, 463, 528, 438 on our page.

3. How to find GCD of 99, 463, 528, 438 on a calculator?

You can find the GCD of 99, 463, 528, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.