GCD of 288, 576, 349, 747 Calculator

Given Input numbers are 288, 576, 349, 747

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (288, 576, 349, 747) = 1.

Given numbers are 288, 576, 349, 747

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 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 349 are 349

Prime factors of 747 are 3 x 3 x 83

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

Given numbers are 288, 576, 349, 747

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

Apply this formula for all numbers.

Step1:

LCM(288, 576) = 576

GCD(288, 576) = ( 288 x 576 ) / 576

= 288 / 576

= 288

Step2:

LCM(288, 349) = 100512

GCD(288, 349) = ( 288 x 349 ) / 100512

= 288 / 349

= 288

Step3:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

So, Greatest Common Divisor of 288, 576, 349, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 490, 709, 118
• GCD of 252, 254, 360, 851
• GCD of 566, 626, 119, 883
• GCD of 500, 400, 475, 224
• GCD of 664, 828, 694, 965

Given numbers are 288, 576, 349, 747
The greatest common divisor of numbers 288, 576, 349, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 576, 349, 747 is 1.

1. What is the GCD of 288, 576, 349, 747?

GCD of given numbers 288, 576, 349, 747 is 1

2. How to calculate the greatest common divisor of 288, 576, 349, 747?

We can find the highest common divisor of 288, 576, 349, 747 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, 576, 349, 747 i.e 1.

3. How can I use the GCD of 288, 576, 349, 747Calculator?

Out the numbers 288, 576, 349, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.