GCD of 384, 400, 687, 905 Calculator

Given Input numbers are 384, 400, 687, 905

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

GCD of numbers is the greatest common divisor

So, the GCD (384, 400, 687, 905) = 1.

Given numbers are 384, 400, 687, 905

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 687 are 3 x 229

Prime factors of 905 are 5 x 181

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

Given numbers are 384, 400, 687, 905

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

Apply this formula for all numbers.

Step1:

LCM(384, 400) = 9600

GCD(384, 400) = ( 384 x 400 ) / 9600

= 384 / 400

= 384

Step2:

LCM(16, 687) = 10992

GCD(16, 687) = ( 16 x 687 ) / 10992

= 16 / 687

= 16

Step3:

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

= 1 / 905

= 1

So, Greatest Common Divisor of 384, 400, 687, 905 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 715, 313, 799
• GCD of 862, 600, 220, 668
• GCD of 554, 160, 197, 724
• GCD of 550, 856, 610, 897
• GCD of 482, 817, 161, 553

Given numbers are 384, 400, 687, 905
The greatest common divisor of numbers 384, 400, 687, 905 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 400, 687, 905 is 1.

1. What is the GCD of 384, 400, 687, 905?

GCD of given numbers 384, 400, 687, 905 is 1

2. How to calculate the greatest common divisor of 384, 400, 687, 905?

We can find the highest common divisor of 384, 400, 687, 905 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, 400, 687, 905 i.e 1.

3. How can I use the GCD of 384, 400, 687, 905Calculator?

Out the numbers 384, 400, 687, 905 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.