GCD of 582, 199, 37, 914 Calculator

Given Input numbers are 582, 199, 37, 914

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 582, 199, 37, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 199, 37, 914 is 1.

Therefore, GCD of numbers 582, 199, 37, 914 is 1

Given Input Data is 582, 199, 37, 914

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 199 is 199

Prime Factorization of 37 is 37

Prime Factorization of 914 is 2 x 457

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(582, 199) = 115818

GCD(582, 199) = ( 582 x 199 ) / 115818

GCD(582, 199) = 115818 / 115818

GCD(582, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 582, 199, 37, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 581, 90, 608
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• GCD of 307, 618, 84, 473
• GCD of 307, 327, 21, 397
• GCD of 758, 165, 43, 912

1. What is the GCD of 582, 199, 37, 914?

GCD of 582, 199, 37, 914 is 1

2. Where do I get the detailed procedure to find GCD of 582, 199, 37, 914?

You can find a detailed procedure to find GCD of 582, 199, 37, 914 on our page.

3. How to find GCD of 582, 199, 37, 914 on a calculator?

You can find the GCD of 582, 199, 37, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.