GCD of 384, 392, 355, 457 Calculator

Given Input numbers are 384, 392, 355, 457

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

GCD of numbers is the greatest common divisor

So, the GCD (384, 392, 355, 457) = 1.

Given numbers are 384, 392, 355, 457

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 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 355 are 5 x 71

Prime factors of 457 are 457

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

Given numbers are 384, 392, 355, 457

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

Apply this formula for all numbers.

Step1:

LCM(384, 392) = 18816

GCD(384, 392) = ( 384 x 392 ) / 18816

= 384 / 392

= 384

Step2:

LCM(8, 355) = 2840

GCD(8, 355) = ( 8 x 355 ) / 2840

= 8 / 355

= 8

Step3:

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

= 1 / 457

= 1

So, Greatest Common Divisor of 384, 392, 355, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 312, 342, 941
• GCD of 989, 499, 777, 300
• GCD of 697, 875, 281, 847
• GCD of 221, 401, 634, 147
• GCD of 940, 950, 971, 528

Given numbers are 384, 392, 355, 457
The greatest common divisor of numbers 384, 392, 355, 457 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 392, 355, 457 is 1.

1. What is the GCD of 384, 392, 355, 457?

GCD of given numbers 384, 392, 355, 457 is 1

2. How to calculate the greatest common divisor of 384, 392, 355, 457?

We can find the highest common divisor of 384, 392, 355, 457 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, 392, 355, 457 i.e 1.

3. How can I use the GCD of 384, 392, 355, 457Calculator?

Out the numbers 384, 392, 355, 457 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.