GCD of 364, 256, 353, 784 Calculator

Given Input numbers are 364, 256, 353, 784

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (364, 256, 353, 784) = 1.

Given numbers are 364, 256, 353, 784

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 353 are 353

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Given numbers are 364, 256, 353, 784

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

Apply this formula for all numbers.

Step1:

LCM(364, 256) = 23296

GCD(364, 256) = ( 364 x 256 ) / 23296

= 364 / 256

= 364

Step2:

LCM(4, 353) = 1412

GCD(4, 353) = ( 4 x 353 ) / 1412

= 4 / 353

= 4

Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

So, Greatest Common Divisor of 364, 256, 353, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 696, 162, 349
• GCD of 203, 421, 113, 513
• GCD of 752, 908, 515, 659
• GCD of 290, 888, 340, 123
• GCD of 622, 280, 405, 563

Given numbers are 364, 256, 353, 784
The greatest common divisor of numbers 364, 256, 353, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 256, 353, 784 is 1.

1. What is the GCD of 364, 256, 353, 784?

GCD of given numbers 364, 256, 353, 784 is 1

2. How to calculate the greatest common divisor of 364, 256, 353, 784?

We can find the highest common divisor of 364, 256, 353, 784 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 364, 256, 353, 784 i.e 1.

3. How can I use the GCD of 364, 256, 353, 784Calculator?

Out the numbers 364, 256, 353, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.