GCD of 918, 309, 112, 816 Calculator

Given Input numbers are 918, 309, 112, 816

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

GCD of numbers is the greatest common divisor

So, the GCD (918, 309, 112, 816) = 1.

Given numbers are 918, 309, 112, 816

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 309 are 3 x 103

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

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

Given numbers are 918, 309, 112, 816

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

Apply this formula for all numbers.

Step1:

LCM(918, 309) = 94554

GCD(918, 309) = ( 918 x 309 ) / 94554

= 918 / 309

= 918

Step2:

LCM(3, 112) = 336

GCD(3, 112) = ( 3 x 112 ) / 336

= 3 / 112

= 3

Step3:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1

So, Greatest Common Divisor of 918, 309, 112, 816 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 862, 594, 911
• GCD of 155, 457, 109, 701
• GCD of 131, 378, 186, 134
• GCD of 371, 881, 716, 445
• GCD of 667, 272, 955, 247

Given numbers are 918, 309, 112, 816
The greatest common divisor of numbers 918, 309, 112, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 309, 112, 816 is 1.

1. What is the GCD of 918, 309, 112, 816?

GCD of given numbers 918, 309, 112, 816 is 1

2. How to calculate the greatest common divisor of 918, 309, 112, 816?

We can find the highest common divisor of 918, 309, 112, 816 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, 309, 112, 816 i.e 1.

3. How can I use the GCD of 918, 309, 112, 816Calculator?

Out the numbers 918, 309, 112, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.