GCD of 289, 311, 240, 768 Calculator

Given Input numbers are 289, 311, 240, 768

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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

GCD of numbers is the greatest common divisor

So, the GCD (289, 311, 240, 768) = 1.

Given numbers are 289, 311, 240, 768

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 311 are 311

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

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

Given numbers are 289, 311, 240, 768

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

Apply this formula for all numbers.

Step1:

LCM(289, 311) = 89879

GCD(289, 311) = ( 289 x 311 ) / 89879

= 289 / 311

= 289

Step2:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

Step3:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1

So, Greatest Common Divisor of 289, 311, 240, 768 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 734, 600, 856
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• GCD of 901, 552, 557, 178
• GCD of 602, 604, 101, 654

Given numbers are 289, 311, 240, 768
The greatest common divisor of numbers 289, 311, 240, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 311, 240, 768 is 1.

1. What is the GCD of 289, 311, 240, 768?

GCD of given numbers 289, 311, 240, 768 is 1

2. How to calculate the greatest common divisor of 289, 311, 240, 768?

We can find the highest common divisor of 289, 311, 240, 768 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 289, 311, 240, 768 i.e 1.

3. How can I use the GCD of 289, 311, 240, 768Calculator?

Out the numbers 289, 311, 240, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.