GCD of 687, 360, 828, 384 Calculator

Given Input numbers are 687, 360, 828, 384

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 (687, 360, 828, 384) = 3.

Given numbers are 687, 360, 828, 384

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 687, 360, 828, 384 is 3.

Given numbers are 687, 360, 828, 384

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

Apply this formula for all numbers.

Step1:

LCM(687, 360) = 82440

GCD(687, 360) = ( 687 x 360 ) / 82440

= 687 / 360

= 687

Step2:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

Step3:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

So, Greatest Common Divisor of 687, 360, 828, 384 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 110, 957, 391
• GCD of 828, 913, 941, 856
• GCD of 393, 149, 961, 760
• GCD of 945, 696, 358, 751
• GCD of 192, 526, 818, 740

Given numbers are 687, 360, 828, 384
The greatest common divisor of numbers 687, 360, 828, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 360, 828, 384 is 3.

1. What is the GCD of 687, 360, 828, 384?

GCD of given numbers 687, 360, 828, 384 is 3

2. How to calculate the greatest common divisor of 687, 360, 828, 384?

We can find the highest common divisor of 687, 360, 828, 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 687, 360, 828, 384 i.e 3.

3. How can I use the GCD of 687, 360, 828, 384Calculator?

Out the numbers 687, 360, 828, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.