GCD of 802, 930, 37, 590 Calculator

Given Input numbers are 802, 930, 37, 590

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 37

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

1, 37

Divisors of 590

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

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

Greatest Common Divisior

We found the divisors of 802, 930, 37, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 930, 37, 590 is 1.

Therefore, GCD of numbers 802, 930, 37, 590 is 1

Given Input Data is 802, 930, 37, 590

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 37 is 37

Prime Factorization of 590 is 2 x 5 x 59

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(802, 930) = 372930

GCD(802, 930) = ( 802 x 930 ) / 372930

GCD(802, 930) = 745860 / 372930

GCD(802, 930) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

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

GCD of 802, 930, 37, 590 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 534, 30, 970
• GCD of 250, 451, 67, 140
• GCD of 251, 141, 96, 278
• GCD of 461, 121, 54, 332
• GCD of 911, 555, 72, 592

1. What is the GCD of 802, 930, 37, 590?

GCD of 802, 930, 37, 590 is 1

2. Where do I get the detailed procedure to find GCD of 802, 930, 37, 590?

You can find a detailed procedure to find GCD of 802, 930, 37, 590 on our page.

3. How to find GCD of 802, 930, 37, 590 on a calculator?

You can find the GCD of 802, 930, 37, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.