GCD of 384, 356, 696, 854 Calculator

Given Input numbers are 384, 356, 696, 854

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (384, 356, 696, 854) = 2.

Given numbers are 384, 356, 696, 854

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 356 are 2 x 2 x 89

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 384, 356, 696, 854 is 2.

Given numbers are 384, 356, 696, 854

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

Apply this formula for all numbers.

Step1:

LCM(384, 356) = 34176

GCD(384, 356) = ( 384 x 356 ) / 34176

= 384 / 356

= 384

Step2:

LCM(4, 696) = 696

GCD(4, 696) = ( 4 x 696 ) / 696

= 4 / 696

= 4

Step3:

LCM(4, 854) = 1708

GCD(4, 854) = ( 4 x 854 ) / 1708

= 4 / 854

= 4

So, Greatest Common Divisor of 384, 356, 696, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 970, 998, 776
• GCD of 257, 105, 709, 617
• GCD of 950, 118, 357, 926
• GCD of 616, 711, 388, 370
• GCD of 958, 710, 588, 546

Given numbers are 384, 356, 696, 854
The greatest common divisor of numbers 384, 356, 696, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 356, 696, 854 is 2.

1. What is the GCD of 384, 356, 696, 854?

GCD of given numbers 384, 356, 696, 854 is 2

2. How to calculate the greatest common divisor of 384, 356, 696, 854?

We can find the highest common divisor of 384, 356, 696, 854 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, 356, 696, 854 i.e 2.

3. How can I use the GCD of 384, 356, 696, 854Calculator?

Out the numbers 384, 356, 696, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.