GCD of 384, 213, 288, 387 Calculator

Given Input numbers are 384, 213, 288, 387

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

GCD of numbers is the greatest common divisor

So, the GCD (384, 213, 288, 387) = 3.

Given numbers are 384, 213, 288, 387

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 213 are 3 x 71

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

Prime factors of 387 are 3 x 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 384, 213, 288, 387 is 3.

Given numbers are 384, 213, 288, 387

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

Apply this formula for all numbers.

Step1:

LCM(384, 213) = 27264

GCD(384, 213) = ( 384 x 213 ) / 27264

= 384 / 213

= 384

Step2:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

Step3:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

So, Greatest Common Divisor of 384, 213, 288, 387 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 724, 656, 491
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• GCD of 700, 712, 968, 980

Given numbers are 384, 213, 288, 387
The greatest common divisor of numbers 384, 213, 288, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 213, 288, 387 is 3.

1. What is the GCD of 384, 213, 288, 387?

GCD of given numbers 384, 213, 288, 387 is 3

2. How to calculate the greatest common divisor of 384, 213, 288, 387?

We can find the highest common divisor of 384, 213, 288, 387 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 384, 213, 288, 387 i.e 3.

3. How can I use the GCD of 384, 213, 288, 387Calculator?

Out the numbers 384, 213, 288, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.