GCD of 384, 342, 633, 588 Calculator

Given Input numbers are 384, 342, 633, 588

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (384, 342, 633, 588) = 3.

Given numbers are 384, 342, 633, 588

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 342 are 2 x 3 x 3 x 19

Prime factors of 633 are 3 x 211

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 384, 342, 633, 588 is 3.

Given numbers are 384, 342, 633, 588

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

Apply this formula for all numbers.

Step1:

LCM(384, 342) = 21888

GCD(384, 342) = ( 384 x 342 ) / 21888

= 384 / 342

= 384

Step2:

LCM(6, 633) = 1266

GCD(6, 633) = ( 6 x 633 ) / 1266

= 6 / 633

= 6

Step3:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

So, Greatest Common Divisor of 384, 342, 633, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 597, 521, 750
• GCD of 398, 493, 456, 866
• GCD of 243, 673, 105, 674
• GCD of 868, 497, 229, 793
• GCD of 369, 642, 325, 815

Given numbers are 384, 342, 633, 588
The greatest common divisor of numbers 384, 342, 633, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 342, 633, 588 is 3.

1. What is the GCD of 384, 342, 633, 588?

GCD of given numbers 384, 342, 633, 588 is 3

2. How to calculate the greatest common divisor of 384, 342, 633, 588?

We can find the highest common divisor of 384, 342, 633, 588 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, 342, 633, 588 i.e 3.

3. How can I use the GCD of 384, 342, 633, 588Calculator?

Out the numbers 384, 342, 633, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.