GCD of 819, 264, 49, 730 Calculator

Given Input numbers are 819, 264, 49, 730

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 819, 264, 49, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 264, 49, 730 is 1.

Therefore, GCD of numbers 819, 264, 49, 730 is 1

Given Input Data is 819, 264, 49, 730

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 730 is 2 x 5 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(819, 264) = 72072

GCD(819, 264) = ( 819 x 264 ) / 72072

GCD(819, 264) = 216216 / 72072

GCD(819, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 819, 264, 49, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 711, 54, 663
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• GCD of 310, 941, 10, 831
• GCD of 101, 532, 76, 896
• GCD of 177, 894, 73, 725

1. What is the GCD of 819, 264, 49, 730?

GCD of 819, 264, 49, 730 is 1

2. Where do I get the detailed procedure to find GCD of 819, 264, 49, 730?

You can find a detailed procedure to find GCD of 819, 264, 49, 730 on our page.

3. How to find GCD of 819, 264, 49, 730 on a calculator?

You can find the GCD of 819, 264, 49, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.