GCD of 864, 300, 249, 261 Calculator

Given Input numbers are 864, 300, 249, 261

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

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

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 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (864, 300, 249, 261) = 3.

Given numbers are 864, 300, 249, 261

The list of prime factors of all numbers are

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

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

Prime factors of 249 are 3 x 83

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 864, 300, 249, 261 is 3.

Given numbers are 864, 300, 249, 261

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

Apply this formula for all numbers.

Step1:

LCM(864, 300) = 21600

GCD(864, 300) = ( 864 x 300 ) / 21600

= 864 / 300

= 864

Step2:

LCM(12, 249) = 996

GCD(12, 249) = ( 12 x 249 ) / 996

= 12 / 249

= 12

Step3:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

So, Greatest Common Divisor of 864, 300, 249, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 764, 992, 687
• GCD of 845, 709, 532, 905
• GCD of 953, 548, 711, 566
• GCD of 294, 191, 860, 427
• GCD of 228, 974, 692, 723

Given numbers are 864, 300, 249, 261
The greatest common divisor of numbers 864, 300, 249, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 300, 249, 261 is 3.

1. What is the GCD of 864, 300, 249, 261?

GCD of given numbers 864, 300, 249, 261 is 3

2. How to calculate the greatest common divisor of 864, 300, 249, 261?

We can find the highest common divisor of 864, 300, 249, 261 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 864, 300, 249, 261 i.e 3.

3. How can I use the GCD of 864, 300, 249, 261Calculator?

Out the numbers 864, 300, 249, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.