GCD of 384, 728, 342, 124 Calculator

Given Input numbers are 384, 728, 342, 124

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

GCD of numbers is the greatest common divisor

So, the GCD (384, 728, 342, 124) = 2.

Given numbers are 384, 728, 342, 124

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 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 124 are 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 384, 728, 342, 124 is 2.

Given numbers are 384, 728, 342, 124

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

Apply this formula for all numbers.

Step1:

LCM(384, 728) = 34944

GCD(384, 728) = ( 384 x 728 ) / 34944

= 384 / 728

= 384

Step2:

LCM(8, 342) = 1368

GCD(8, 342) = ( 8 x 342 ) / 1368

= 8 / 342

= 8

Step3:

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

= 2 / 124

= 2

So, Greatest Common Divisor of 384, 728, 342, 124 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 823, 672, 626
• GCD of 576, 526, 376, 509
• GCD of 470, 110, 866, 697
• GCD of 772, 743, 271, 246
• GCD of 349, 420, 452, 333

Given numbers are 384, 728, 342, 124
The greatest common divisor of numbers 384, 728, 342, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 728, 342, 124 is 2.

1. What is the GCD of 384, 728, 342, 124?

GCD of given numbers 384, 728, 342, 124 is 2

2. How to calculate the greatest common divisor of 384, 728, 342, 124?

We can find the highest common divisor of 384, 728, 342, 124 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, 728, 342, 124 i.e 2.

3. How can I use the GCD of 384, 728, 342, 124Calculator?

Out the numbers 384, 728, 342, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.