GCD of 288, 399, 321, 502 Calculator

Given Input numbers are 288, 399, 321, 502

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (288, 399, 321, 502) = 1.

Given numbers are 288, 399, 321, 502

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 399 are 3 x 7 x 19

Prime factors of 321 are 3 x 107

Prime factors of 502 are 2 x 251

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

Given numbers are 288, 399, 321, 502

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

Apply this formula for all numbers.

Step1:

LCM(288, 399) = 38304

GCD(288, 399) = ( 288 x 399 ) / 38304

= 288 / 399

= 288

Step2:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3

Step3:

LCM(3, 502) = 1506

GCD(3, 502) = ( 3 x 502 ) / 1506

= 3 / 502

= 3

So, Greatest Common Divisor of 288, 399, 321, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 227, 724, 556
• GCD of 430, 352, 757, 375
• GCD of 629, 530, 219, 134
• GCD of 148, 890, 376, 716
• GCD of 828, 744, 197, 244

Given numbers are 288, 399, 321, 502
The greatest common divisor of numbers 288, 399, 321, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 399, 321, 502 is 1.

1. What is the GCD of 288, 399, 321, 502?

GCD of given numbers 288, 399, 321, 502 is 1

2. How to calculate the greatest common divisor of 288, 399, 321, 502?

We can find the highest common divisor of 288, 399, 321, 502 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, 399, 321, 502 i.e 1.

3. How can I use the GCD of 288, 399, 321, 502Calculator?

Out the numbers 288, 399, 321, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.