GCD of 300, 264, 354, 864 Calculator

Given Input numbers are 300, 264, 354, 864

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

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (300, 264, 354, 864) = 6.

Given numbers are 300, 264, 354, 864

The list of prime factors of all numbers are

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 354 are 2 x 3 x 59

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 300, 264, 354, 864 is 6.

Given numbers are 300, 264, 354, 864

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

Apply this formula for all numbers.

Step1:

LCM(300, 264) = 6600

GCD(300, 264) = ( 300 x 264 ) / 6600

= 300 / 264

= 300

Step2:

LCM(12, 354) = 708

GCD(12, 354) = ( 12 x 354 ) / 708

= 12 / 354

= 12

Step3:

LCM(6, 864) = 864

GCD(6, 864) = ( 6 x 864 ) / 864

= 6 / 864

= 6

So, Greatest Common Divisor of 300, 264, 354, 864 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 502, 333, 458
• GCD of 509, 640, 207, 545
• GCD of 611, 558, 963, 856
• GCD of 926, 921, 115, 905
• GCD of 935, 249, 967, 729

Given numbers are 300, 264, 354, 864
The greatest common divisor of numbers 300, 264, 354, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 264, 354, 864 is 6.

1. What is the GCD of 300, 264, 354, 864?

GCD of given numbers 300, 264, 354, 864 is 6

2. How to calculate the greatest common divisor of 300, 264, 354, 864?

We can find the highest common divisor of 300, 264, 354, 864 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 300, 264, 354, 864 i.e 6.

3. How can I use the GCD of 300, 264, 354, 864Calculator?

Out the numbers 300, 264, 354, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.