GCD of 768, 267, 306, 288 Calculator

Given Input numbers are 768, 267, 306, 288

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (768, 267, 306, 288) = 3.

Given numbers are 768, 267, 306, 288

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 267 are 3 x 89

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 768, 267, 306, 288 is 3.

Given numbers are 768, 267, 306, 288

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

Apply this formula for all numbers.

Step1:

LCM(768, 267) = 68352

GCD(768, 267) = ( 768 x 267 ) / 68352

= 768 / 267

= 768

Step2:

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

= 3 / 306

= 3

Step3:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

So, Greatest Common Divisor of 768, 267, 306, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 360, 456, 439
• GCD of 387, 442, 288, 994
• GCD of 485, 577, 992, 516
• GCD of 846, 275, 100, 996
• GCD of 372, 772, 676, 996

Given numbers are 768, 267, 306, 288
The greatest common divisor of numbers 768, 267, 306, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 267, 306, 288 is 3.

1. What is the GCD of 768, 267, 306, 288?

GCD of given numbers 768, 267, 306, 288 is 3

2. How to calculate the greatest common divisor of 768, 267, 306, 288?

We can find the highest common divisor of 768, 267, 306, 288 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 768, 267, 306, 288 i.e 3.

3. How can I use the GCD of 768, 267, 306, 288Calculator?

Out the numbers 768, 267, 306, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.