GCD of 598, 985, 814 Calculator

Given Input numbers are 598, 985, 814

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 598, 985, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 985, 814 is 1.

Therefore, GCD of numbers 598, 985, 814 is 1

Given Input Data is 598, 985, 814

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 985 is 5 x 197

Prime Factorization of 814 is 2 x 11 x 37

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(598, 985) = 589030

GCD(598, 985) = ( 598 x 985 ) / 589030

GCD(598, 985) = 589030 / 589030

GCD(598, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 598, 985, 814 is 1

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1. What is the GCD of 598, 985, 814?

GCD of 598, 985, 814 is 1

2. Where do I get the detailed procedure to find GCD of 598, 985, 814?

You can find a detailed procedure to find GCD of 598, 985, 814 on our page.

3. How to find GCD of 598, 985, 814 on a calculator?

You can find the GCD of 598, 985, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.