GCD of 527, 397, 99, 412 Calculator

Given Input numbers are 527, 397, 99, 412

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 527, 397, 99, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 397, 99, 412 is 1.

Therefore, GCD of numbers 527, 397, 99, 412 is 1

Given Input Data is 527, 397, 99, 412

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 397 is 397

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 412 is 2 x 2 x 103

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(527, 397) = 209219

GCD(527, 397) = ( 527 x 397 ) / 209219

GCD(527, 397) = 209219 / 209219

GCD(527, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 527, 397, 99, 412 is 1

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1. What is the GCD of 527, 397, 99, 412?

GCD of 527, 397, 99, 412 is 1

2. Where do I get the detailed procedure to find GCD of 527, 397, 99, 412?

You can find a detailed procedure to find GCD of 527, 397, 99, 412 on our page.

3. How to find GCD of 527, 397, 99, 412 on a calculator?

You can find the GCD of 527, 397, 99, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.