GCD of 816, 310, 756, 369 Calculator

Given Input numbers are 816, 310, 756, 369

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (816, 310, 756, 369) = 1.

Given numbers are 816, 310, 756, 369

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 310 are 2 x 5 x 31

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 369 are 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 816, 310, 756, 369

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

Apply this formula for all numbers.

Step1:

LCM(816, 310) = 126480

GCD(816, 310) = ( 816 x 310 ) / 126480

= 816 / 310

= 816

Step2:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

= 2 / 369

= 2

So, Greatest Common Divisor of 816, 310, 756, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 976, 165, 117
• GCD of 404, 495, 233, 396
• GCD of 778, 420, 910, 344
• GCD of 513, 684, 499, 920
• GCD of 777, 234, 728, 358

Given numbers are 816, 310, 756, 369
The greatest common divisor of numbers 816, 310, 756, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 310, 756, 369 is 1.

1. What is the GCD of 816, 310, 756, 369?

GCD of given numbers 816, 310, 756, 369 is 1

2. How to calculate the greatest common divisor of 816, 310, 756, 369?

We can find the highest common divisor of 816, 310, 756, 369 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, 310, 756, 369 i.e 1.

3. How can I use the GCD of 816, 310, 756, 369Calculator?

Out the numbers 816, 310, 756, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.