GCD of 288, 675, 791, 765 Calculator

Given Input numbers are 288, 675, 791, 765

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

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

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

GCD of numbers is the greatest common divisor

So, the GCD (288, 675, 791, 765) = 1.

Given numbers are 288, 675, 791, 765

The list of prime factors of all numbers are

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

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 791 are 7 x 113

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 288, 675, 791, 765

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

Apply this formula for all numbers.

Step1:

LCM(288, 675) = 21600

GCD(288, 675) = ( 288 x 675 ) / 21600

= 288 / 675

= 288

Step2:

LCM(9, 791) = 7119

GCD(9, 791) = ( 9 x 791 ) / 7119

= 9 / 791

= 9

Step3:

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

= 1 / 765

= 1

So, Greatest Common Divisor of 288, 675, 791, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 319, 757, 288
• GCD of 992, 672, 895, 481
• GCD of 924, 249, 888, 862
• GCD of 862, 635, 328, 250
• GCD of 854, 368, 360, 163

Given numbers are 288, 675, 791, 765
The greatest common divisor of numbers 288, 675, 791, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 675, 791, 765 is 1.

1. What is the GCD of 288, 675, 791, 765?

GCD of given numbers 288, 675, 791, 765 is 1

2. How to calculate the greatest common divisor of 288, 675, 791, 765?

We can find the highest common divisor of 288, 675, 791, 765 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 288, 675, 791, 765 i.e 1.

3. How can I use the GCD of 288, 675, 791, 765Calculator?

Out the numbers 288, 675, 791, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.