GCD of 816, 144, 370, 394 Calculator

Given Input numbers are 816, 144, 370, 394

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

GCD of numbers is the greatest common divisor

So, the GCD (816, 144, 370, 394) = 2.

Given numbers are 816, 144, 370, 394

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 370 are 2 x 5 x 37

Prime factors of 394 are 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 816, 144, 370, 394 is 2.

Given numbers are 816, 144, 370, 394

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

Apply this formula for all numbers.

Step1:

LCM(816, 144) = 2448

GCD(816, 144) = ( 816 x 144 ) / 2448

= 816 / 144

= 816

Step2:

LCM(48, 370) = 8880

GCD(48, 370) = ( 48 x 370 ) / 8880

= 48 / 370

= 48

Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

So, Greatest Common Divisor of 816, 144, 370, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 772, 942, 800
• GCD of 700, 532, 644, 417
• GCD of 794, 157, 941, 302
• GCD of 755, 126, 942, 783
• GCD of 412, 886, 371, 278

Given numbers are 816, 144, 370, 394
The greatest common divisor of numbers 816, 144, 370, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 144, 370, 394 is 2.

1. What is the GCD of 816, 144, 370, 394?

GCD of given numbers 816, 144, 370, 394 is 2

2. How to calculate the greatest common divisor of 816, 144, 370, 394?

We can find the highest common divisor of 816, 144, 370, 394 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, 144, 370, 394 i.e 2.

3. How can I use the GCD of 816, 144, 370, 394Calculator?

Out the numbers 816, 144, 370, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.