GCD of 384, 826, 960, 408 Calculator

Given Input numbers are 384, 826, 960, 408

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 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (384, 826, 960, 408) = 2.

Given numbers are 384, 826, 960, 408

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 826 are 2 x 7 x 59

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 384, 826, 960, 408 is 2.

Given numbers are 384, 826, 960, 408

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

Apply this formula for all numbers.

Step1:

LCM(384, 826) = 158592

GCD(384, 826) = ( 384 x 826 ) / 158592

= 384 / 826

= 384

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 384, 826, 960, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 178, 540, 168
• GCD of 977, 986, 287, 460
• GCD of 794, 317, 532, 662
• GCD of 645, 176, 420, 706
• GCD of 808, 115, 280, 563

Given numbers are 384, 826, 960, 408
The greatest common divisor of numbers 384, 826, 960, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 826, 960, 408 is 2.

1. What is the GCD of 384, 826, 960, 408?

GCD of given numbers 384, 826, 960, 408 is 2

2. How to calculate the greatest common divisor of 384, 826, 960, 408?

We can find the highest common divisor of 384, 826, 960, 408 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, 826, 960, 408 i.e 2.

3. How can I use the GCD of 384, 826, 960, 408Calculator?

Out the numbers 384, 826, 960, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.