GCD of 398, 583, 87, 834 Calculator

Given Input numbers are 398, 583, 87, 834

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 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 398, 583, 87, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 583, 87, 834 is 1.

Therefore, GCD of numbers 398, 583, 87, 834 is 1

Given Input Data is 398, 583, 87, 834

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 583 is 11 x 53

Prime Factorization of 87 is 3 x 29

Prime Factorization of 834 is 2 x 3 x 139

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, 583) = 232034

GCD(398, 583) = ( 398 x 583 ) / 232034

GCD(398, 583) = 232034 / 232034

GCD(398, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 398, 583, 87, 834 is 1

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1. What is the GCD of 398, 583, 87, 834?

GCD of 398, 583, 87, 834 is 1

2. Where do I get the detailed procedure to find GCD of 398, 583, 87, 834?

You can find a detailed procedure to find GCD of 398, 583, 87, 834 on our page.

3. How to find GCD of 398, 583, 87, 834 on a calculator?

You can find the GCD of 398, 583, 87, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.