GCD of 816, 368, 804, 722 Calculator

Given Input numbers are 816, 368, 804, 722

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (816, 368, 804, 722) = 2.

Given numbers are 816, 368, 804, 722

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 816, 368, 804, 722 is 2.

Given numbers are 816, 368, 804, 722

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

Apply this formula for all numbers.

Step1:

LCM(816, 368) = 18768

GCD(816, 368) = ( 816 x 368 ) / 18768

= 816 / 368

= 816

Step2:

LCM(16, 804) = 3216

GCD(16, 804) = ( 16 x 804 ) / 3216

= 16 / 804

= 16

Step3:

LCM(4, 722) = 1444

GCD(4, 722) = ( 4 x 722 ) / 1444

= 4 / 722

= 4

So, Greatest Common Divisor of 816, 368, 804, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 657, 678, 819
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Given numbers are 816, 368, 804, 722
The greatest common divisor of numbers 816, 368, 804, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 368, 804, 722 is 2.

1. What is the GCD of 816, 368, 804, 722?

GCD of given numbers 816, 368, 804, 722 is 2

2. How to calculate the greatest common divisor of 816, 368, 804, 722?

We can find the highest common divisor of 816, 368, 804, 722 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 816, 368, 804, 722 i.e 2.

3. How can I use the GCD of 816, 368, 804, 722Calculator?

Out the numbers 816, 368, 804, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.