GCD of 83, 362, 590, 993 Calculator

Given Input numbers are 83, 362, 590, 993

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 83, 362, 590, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 362, 590, 993 is 1.

Therefore, GCD of numbers 83, 362, 590, 993 is 1

Given Input Data is 83, 362, 590, 993

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

Prime Factorization of 83 is 83

Prime Factorization of 362 is 2 x 181

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 993 is 3 x 331

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(83, 362) = 30046

GCD(83, 362) = ( 83 x 362 ) / 30046

GCD(83, 362) = 30046 / 30046

GCD(83, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 83, 362, 590, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 313, 640, 197
• GCD of 77, 537, 819, 408
• GCD of 82, 525, 865, 568
• GCD of 31, 331, 797, 921
• GCD of 75, 939, 555, 271

1. What is the GCD of 83, 362, 590, 993?

GCD of 83, 362, 590, 993 is 1

2. Where do I get the detailed procedure to find GCD of 83, 362, 590, 993?

You can find a detailed procedure to find GCD of 83, 362, 590, 993 on our page.

3. How to find GCD of 83, 362, 590, 993 on a calculator?

You can find the GCD of 83, 362, 590, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.