GCD of 730, 774, 804, 822 Calculator

Given Input numbers are 730, 774, 804, 822

In the factoring method, we have to find the divisors of all numbers

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (730, 774, 804, 822) = 2.

Given numbers are 730, 774, 804, 822

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 730, 774, 804, 822 is 2.

Given numbers are 730, 774, 804, 822

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(730, 774) = 282510

GCD(730, 774) = ( 730 x 774 ) / 282510

= 730 / 774

= 730

Step2:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 730, 774, 804, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 291, 320, 338
• GCD of 663, 721, 385, 189
• GCD of 900, 930, 323, 400
• GCD of 546, 427, 140, 367
• GCD of 882, 866, 584, 318

Given numbers are 730, 774, 804, 822
The greatest common divisor of numbers 730, 774, 804, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 774, 804, 822 is 2.

1. What is the GCD of 730, 774, 804, 822?

GCD of given numbers 730, 774, 804, 822 is 2

2. How to calculate the greatest common divisor of 730, 774, 804, 822?

We can find the highest common divisor of 730, 774, 804, 822 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 730, 774, 804, 822 i.e 2.

3. How can I use the GCD of 730, 774, 804, 822Calculator?

Out the numbers 730, 774, 804, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.