GCD of 398, 592, 35, 505 Calculator

Given Input numbers are 398, 592, 35, 505

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 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 398, 592, 35, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 592, 35, 505 is 1.

Therefore, GCD of numbers 398, 592, 35, 505 is 1

Given Input Data is 398, 592, 35, 505

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 35 is 5 x 7

Prime Factorization of 505 is 5 x 101

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, 592) = 117808

GCD(398, 592) = ( 398 x 592 ) / 117808

GCD(398, 592) = 235616 / 117808

GCD(398, 592) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 398, 592, 35, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 181, 97, 176
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• GCD of 245, 665, 10, 874

1. What is the GCD of 398, 592, 35, 505?

GCD of 398, 592, 35, 505 is 1

2. Where do I get the detailed procedure to find GCD of 398, 592, 35, 505?

You can find a detailed procedure to find GCD of 398, 592, 35, 505 on our page.

3. How to find GCD of 398, 592, 35, 505 on a calculator?

You can find the GCD of 398, 592, 35, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.