GCD of 918, 396, 944, 300 Calculator

Given Input numbers are 918, 396, 944, 300

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (918, 396, 944, 300) = 2.

Given numbers are 918, 396, 944, 300

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 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 918, 396, 944, 300 is 2.

Given numbers are 918, 396, 944, 300

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

Apply this formula for all numbers.

Step1:

LCM(918, 396) = 20196

GCD(918, 396) = ( 918 x 396 ) / 20196

= 918 / 396

= 918

Step2:

LCM(18, 944) = 8496

GCD(18, 944) = ( 18 x 944 ) / 8496

= 18 / 944

= 18

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 918, 396, 944, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 507, 147, 110
• GCD of 775, 553, 313, 390
• GCD of 167, 730, 766, 802
• GCD of 774, 145, 100, 591
• GCD of 555, 248, 844, 426

Given numbers are 918, 396, 944, 300
The greatest common divisor of numbers 918, 396, 944, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 396, 944, 300 is 2.

1. What is the GCD of 918, 396, 944, 300?

GCD of given numbers 918, 396, 944, 300 is 2

2. How to calculate the greatest common divisor of 918, 396, 944, 300?

We can find the highest common divisor of 918, 396, 944, 300 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, 396, 944, 300 i.e 2.

3. How can I use the GCD of 918, 396, 944, 300Calculator?

Out the numbers 918, 396, 944, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.