GCD of 288, 218, 747, 225 Calculator

Given Input numbers are 288, 218, 747, 225

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 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (288, 218, 747, 225) = 1.

Given numbers are 288, 218, 747, 225

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 218 are 2 x 109

Prime factors of 747 are 3 x 3 x 83

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 288, 218, 747, 225

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

Apply this formula for all numbers.

Step1:

LCM(288, 218) = 31392

GCD(288, 218) = ( 288 x 218 ) / 31392

= 288 / 218

= 288

Step2:

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

= 2 / 747

= 2

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 288, 218, 747, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 730, 207, 778
• GCD of 249, 780, 703, 438
• GCD of 369, 542, 319, 118
• GCD of 615, 535, 310, 446
• GCD of 678, 637, 195, 850

Given numbers are 288, 218, 747, 225
The greatest common divisor of numbers 288, 218, 747, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 218, 747, 225 is 1.

1. What is the GCD of 288, 218, 747, 225?

GCD of given numbers 288, 218, 747, 225 is 1

2. How to calculate the greatest common divisor of 288, 218, 747, 225?

We can find the highest common divisor of 288, 218, 747, 225 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, 218, 747, 225 i.e 1.

3. How can I use the GCD of 288, 218, 747, 225Calculator?

Out the numbers 288, 218, 747, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.