GCD of 449, 756, 704, 384 Calculator

Given Input numbers are 449, 756, 704, 384

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

Divisors of 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

GCD of numbers is the greatest common divisor

So, the GCD (449, 756, 704, 384) = 1.

Given numbers are 449, 756, 704, 384

The list of prime factors of all numbers are

Prime factors of 449 are 449

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

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

Given numbers are 449, 756, 704, 384

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

Apply this formula for all numbers.

Step1:

LCM(449, 756) = 339444

GCD(449, 756) = ( 449 x 756 ) / 339444

= 449 / 756

= 449

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 449, 756, 704, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 701, 303, 108
• GCD of 204, 879, 562, 492
• GCD of 110, 167, 620, 297
• GCD of 747, 245, 227, 239
• GCD of 596, 586, 577, 378

Given numbers are 449, 756, 704, 384
The greatest common divisor of numbers 449, 756, 704, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 449, 756, 704, 384 is 1.

1. What is the GCD of 449, 756, 704, 384?

GCD of given numbers 449, 756, 704, 384 is 1

2. How to calculate the greatest common divisor of 449, 756, 704, 384?

We can find the highest common divisor of 449, 756, 704, 384 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 449, 756, 704, 384 i.e 1.

3. How can I use the GCD of 449, 756, 704, 384Calculator?

Out the numbers 449, 756, 704, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.