GCD of 765, 270, 249, 864 Calculator

Given Input numbers are 765, 270, 249, 864

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 249 :

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

1, 3, 83, 249

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 (765, 270, 249, 864) = 3.

Given numbers are 765, 270, 249, 864

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 249 are 3 x 83

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 3¹

Therefore, GCD of 765, 270, 249, 864 is 3.

Given numbers are 765, 270, 249, 864

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

Apply this formula for all numbers.

Step1:

LCM(765, 270) = 4590

GCD(765, 270) = ( 765 x 270 ) / 4590

= 765 / 270

= 765

Step2:

LCM(45, 249) = 3735

GCD(45, 249) = ( 45 x 249 ) / 3735

= 45 / 249

= 45

Step3:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

So, Greatest Common Divisor of 765, 270, 249, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 421, 846, 880
• GCD of 382, 838, 704, 723
• GCD of 985, 211, 762, 819
• GCD of 449, 733, 539, 361
• GCD of 419, 797, 703, 112

Given numbers are 765, 270, 249, 864
The greatest common divisor of numbers 765, 270, 249, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 270, 249, 864 is 3.

1. What is the GCD of 765, 270, 249, 864?

GCD of given numbers 765, 270, 249, 864 is 3

2. How to calculate the greatest common divisor of 765, 270, 249, 864?

We can find the highest common divisor of 765, 270, 249, 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 765, 270, 249, 864 i.e 3.

3. How can I use the GCD of 765, 270, 249, 864Calculator?

Out the numbers 765, 270, 249, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.