GCD of 810, 728, 884, 916 Calculator

Given Input numbers are 810, 728, 884, 916

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

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (810, 728, 884, 916) = 2.

Given numbers are 810, 728, 884, 916

The list of prime factors of all numbers are

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 810, 728, 884, 916 is 2.

Given numbers are 810, 728, 884, 916

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

Apply this formula for all numbers.

Step1:

LCM(810, 728) = 294840

GCD(810, 728) = ( 810 x 728 ) / 294840

= 810 / 728

= 810

Step2:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 810, 728, 884, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 724, 416, 214
• GCD of 231, 486, 138, 521
• GCD of 835, 841, 643, 136
• GCD of 177, 127, 721, 731
• GCD of 541, 264, 716, 648

Given numbers are 810, 728, 884, 916
The greatest common divisor of numbers 810, 728, 884, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 728, 884, 916 is 2.

1. What is the GCD of 810, 728, 884, 916?

GCD of given numbers 810, 728, 884, 916 is 2

2. How to calculate the greatest common divisor of 810, 728, 884, 916?

We can find the highest common divisor of 810, 728, 884, 916 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 810, 728, 884, 916 i.e 2.

3. How can I use the GCD of 810, 728, 884, 916Calculator?

Out the numbers 810, 728, 884, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.