GCD of 918, 924, 819, 312 Calculator

Given Input numbers are 918, 924, 819, 312

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (918, 924, 819, 312) = 3.

Given numbers are 918, 924, 819, 312

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 918, 924, 819, 312 is 3.

Given numbers are 918, 924, 819, 312

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

Apply this formula for all numbers.

Step1:

LCM(918, 924) = 141372

GCD(918, 924) = ( 918 x 924 ) / 141372

= 918 / 924

= 918

Step2:

LCM(6, 819) = 1638

GCD(6, 819) = ( 6 x 819 ) / 1638

= 6 / 819

= 6

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 918, 924, 819, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 341, 718, 476
• GCD of 948, 142, 986, 250
• GCD of 883, 884, 498, 168
• GCD of 666, 971, 309, 940
• GCD of 703, 393, 282, 848

Given numbers are 918, 924, 819, 312
The greatest common divisor of numbers 918, 924, 819, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 924, 819, 312 is 3.

1. What is the GCD of 918, 924, 819, 312?

GCD of given numbers 918, 924, 819, 312 is 3

2. How to calculate the greatest common divisor of 918, 924, 819, 312?

We can find the highest common divisor of 918, 924, 819, 312 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 918, 924, 819, 312 i.e 3.

3. How can I use the GCD of 918, 924, 819, 312Calculator?

Out the numbers 918, 924, 819, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.