GCD of 238, 820, 30, 790 Calculator

Given Input numbers are 238, 820, 30, 790

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 238, 820, 30, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 820, 30, 790 is 2.

Therefore, GCD of numbers 238, 820, 30, 790 is 2

Given Input Data is 238, 820, 30, 790

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 790 is 2 x 5 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(238, 820) = 97580

GCD(238, 820) = ( 238 x 820 ) / 97580

GCD(238, 820) = 195160 / 97580

GCD(238, 820) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

GCD of 238, 820, 30, 790 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 521, 42, 862
• GCD of 910, 505, 26, 223
• GCD of 391, 299, 73, 708
• GCD of 223, 478, 30, 507
• GCD of 290, 106, 14, 989

1. What is the GCD of 238, 820, 30, 790?

GCD of 238, 820, 30, 790 is 2

2. Where do I get the detailed procedure to find GCD of 238, 820, 30, 790?

You can find a detailed procedure to find GCD of 238, 820, 30, 790 on our page.

3. How to find GCD of 238, 820, 30, 790 on a calculator?

You can find the GCD of 238, 820, 30, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.