GCD of 398, 576, 75, 402 Calculator

Given Input numbers are 398, 576, 75, 402

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 398, 576, 75, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 576, 75, 402 is 1.

Therefore, GCD of numbers 398, 576, 75, 402 is 1

Given Input Data is 398, 576, 75, 402

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 75 is 3 x 5 x 5

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(398, 576) = 114624

GCD(398, 576) = ( 398 x 576 ) / 114624

GCD(398, 576) = 229248 / 114624

GCD(398, 576) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 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 398, 576, 75, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 256, 77, 928
• GCD of 741, 744, 57, 362
• GCD of 591, 936, 47, 837
• GCD of 190, 416, 24, 762
• GCD of 678, 351, 13, 905

1. What is the GCD of 398, 576, 75, 402?

GCD of 398, 576, 75, 402 is 1

2. Where do I get the detailed procedure to find GCD of 398, 576, 75, 402?

You can find a detailed procedure to find GCD of 398, 576, 75, 402 on our page.

3. How to find GCD of 398, 576, 75, 402 on a calculator?

You can find the GCD of 398, 576, 75, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.