GCD of 990, 830, 72, 348 Calculator

Given Input numbers are 990, 830, 72, 348

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 990, 830, 72, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 830, 72, 348 is 2.

Therefore, GCD of numbers 990, 830, 72, 348 is 2

Given Input Data is 990, 830, 72, 348

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(990, 830) = 82170

GCD(990, 830) = ( 990 x 830 ) / 82170

GCD(990, 830) = 821700 / 82170

GCD(990, 830) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 72

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

LCM(10, 72) = 360

GCD(10, 72) = ( 10 x 72 ) / 360

GCD(10, 72) = 720 / 360

GCD(10, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 990, 830, 72, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 749, 86, 186
• GCD of 350, 920, 30, 316
• GCD of 167, 338, 35, 578
• GCD of 677, 439, 41, 237
• GCD of 713, 484, 28, 791

1. What is the GCD of 990, 830, 72, 348?

GCD of 990, 830, 72, 348 is 2

2. Where do I get the detailed procedure to find GCD of 990, 830, 72, 348?

You can find a detailed procedure to find GCD of 990, 830, 72, 348 on our page.

3. How to find GCD of 990, 830, 72, 348 on a calculator?

You can find the GCD of 990, 830, 72, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.