GCD of 398, 285, 526, 652 Calculator

Given Input numbers are 398, 285, 526, 652

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 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 398, 285, 526, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 285, 526, 652 is 1.

Therefore, GCD of numbers 398, 285, 526, 652 is 1

Given Input Data is 398, 285, 526, 652

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 526 is 2 x 263

Prime Factorization of 652 is 2 x 2 x 163

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, 285) = 113430

GCD(398, 285) = ( 398 x 285 ) / 113430

GCD(398, 285) = 113430 / 113430

GCD(398, 285) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 398, 285, 526, 652 is 1

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1. What is the GCD of 398, 285, 526, 652?

GCD of 398, 285, 526, 652 is 1

2. Where do I get the detailed procedure to find GCD of 398, 285, 526, 652?

You can find a detailed procedure to find GCD of 398, 285, 526, 652 on our page.

3. How to find GCD of 398, 285, 526, 652 on a calculator?

You can find the GCD of 398, 285, 526, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.