GCD of 384, 728, 705, 953 Calculator

Given Input numbers are 384, 728, 705, 953

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

GCD of numbers is the greatest common divisor

So, the GCD (384, 728, 705, 953) = 1.

Given numbers are 384, 728, 705, 953

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 705 are 3 x 5 x 47

Prime factors of 953 are 953

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

Given numbers are 384, 728, 705, 953

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, 705) = 5640

GCD(8, 705) = ( 8 x 705 ) / 5640

= 8 / 705

= 8

Step3:

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

= 1 / 953

= 1

So, Greatest Common Divisor of 384, 728, 705, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 578, 320, 307
• GCD of 820, 605, 790, 550
• GCD of 123, 569, 984, 276
• GCD of 958, 196, 435, 359
• GCD of 913, 474, 328, 553

Given numbers are 384, 728, 705, 953
The greatest common divisor of numbers 384, 728, 705, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 728, 705, 953 is 1.

1. What is the GCD of 384, 728, 705, 953?

GCD of given numbers 384, 728, 705, 953 is 1

2. How to calculate the greatest common divisor of 384, 728, 705, 953?

We can find the highest common divisor of 384, 728, 705, 953 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, 705, 953 i.e 1.

3. How can I use the GCD of 384, 728, 705, 953Calculator?

Out the numbers 384, 728, 705, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.