GCD of 810, 820, 734, 219 Calculator

Given Input numbers are 810, 820, 734, 219

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 810, 820, 734, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 820, 734, 219 is 1.

Therefore, GCD of numbers 810, 820, 734, 219 is 1

Given Input Data is 810, 820, 734, 219

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 219 is 3 x 73

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(810, 820) = 66420

GCD(810, 820) = ( 810 x 820 ) / 66420

GCD(810, 820) = 664200 / 66420

GCD(810, 820) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 734

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

LCM(10, 734) = 3670

GCD(10, 734) = ( 10 x 734 ) / 3670

GCD(10, 734) = 7340 / 3670

GCD(10, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 219

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

LCM(2, 219) = 438

GCD(2, 219) = ( 2 x 219 ) / 438

GCD(2, 219) = 438 / 438

GCD(2, 219) = 1

GCD of 810, 820, 734, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 432, 226, 210
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• GCD of 610, 251, 457, 718

1. What is the GCD of 810, 820, 734, 219?

GCD of 810, 820, 734, 219 is 1

2. Where do I get the detailed procedure to find GCD of 810, 820, 734, 219?

You can find a detailed procedure to find GCD of 810, 820, 734, 219 on our page.

3. How to find GCD of 810, 820, 734, 219 on a calculator?

You can find the GCD of 810, 820, 734, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.