GCD of 738, 828, 229, 288 Calculator

Given Input numbers are 738, 828, 229, 288

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

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

GCD of numbers is the greatest common divisor

So, the GCD (738, 828, 229, 288) = 1.

Given numbers are 738, 828, 229, 288

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 229 are 229

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

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

Given numbers are 738, 828, 229, 288

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

Apply this formula for all numbers.

Step1:

LCM(738, 828) = 33948

GCD(738, 828) = ( 738 x 828 ) / 33948

= 738 / 828

= 738

Step2:

LCM(18, 229) = 4122

GCD(18, 229) = ( 18 x 229 ) / 4122

= 18 / 229

= 18

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 738, 828, 229, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 287, 677, 811
• GCD of 359, 580, 674, 364
• GCD of 352, 258, 331, 641
• GCD of 696, 648, 769, 352
• GCD of 389, 645, 455, 848

Given numbers are 738, 828, 229, 288
The greatest common divisor of numbers 738, 828, 229, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 828, 229, 288 is 1.

1. What is the GCD of 738, 828, 229, 288?

GCD of given numbers 738, 828, 229, 288 is 1

2. How to calculate the greatest common divisor of 738, 828, 229, 288?

We can find the highest common divisor of 738, 828, 229, 288 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 738, 828, 229, 288 i.e 1.

3. How can I use the GCD of 738, 828, 229, 288Calculator?

Out the numbers 738, 828, 229, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.