GCD of 288, 442, 960, 787 Calculator

Given Input numbers are 288, 442, 960, 787

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 787 :

The positive integer divisors of 787 that completely divides 787 are.

1, 787

GCD of numbers is the greatest common divisor

So, the GCD (288, 442, 960, 787) = 1.

Given numbers are 288, 442, 960, 787

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 442 are 2 x 13 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 787 are 787

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

Given numbers are 288, 442, 960, 787

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

Apply this formula for all numbers.

Step1:

LCM(288, 442) = 63648

GCD(288, 442) = ( 288 x 442 ) / 63648

= 288 / 442

= 288

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 787) = 1574

GCD(2, 787) = ( 2 x 787 ) / 1574

= 2 / 787

= 2

So, Greatest Common Divisor of 288, 442, 960, 787 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 757, 738, 836
• GCD of 702, 250, 928, 630
• GCD of 281, 760, 674, 413
• GCD of 866, 492, 937, 985
• GCD of 642, 457, 108, 270

Given numbers are 288, 442, 960, 787
The greatest common divisor of numbers 288, 442, 960, 787 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 442, 960, 787 is 1.

1. What is the GCD of 288, 442, 960, 787?

GCD of given numbers 288, 442, 960, 787 is 1

2. How to calculate the greatest common divisor of 288, 442, 960, 787?

We can find the highest common divisor of 288, 442, 960, 787 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, 442, 960, 787 i.e 1.

3. How can I use the GCD of 288, 442, 960, 787Calculator?

Out the numbers 288, 442, 960, 787 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.