GCD of 336, 214, 846, 728 Calculator

Given Input numbers are 336, 214, 846, 728

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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

GCD of numbers is the greatest common divisor

So, the GCD (336, 214, 846, 728) = 2.

Given numbers are 336, 214, 846, 728

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 214 are 2 x 107

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 336, 214, 846, 728 is 2.

Given numbers are 336, 214, 846, 728

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

Apply this formula for all numbers.

Step1:

LCM(336, 214) = 35952

GCD(336, 214) = ( 336 x 214 ) / 35952

= 336 / 214

= 336

Step2:

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

= 2 / 846

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 336, 214, 846, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 589, 711, 661
• GCD of 522, 853, 579, 862
• GCD of 228, 264, 177, 782
• GCD of 217, 470, 903, 962
• GCD of 593, 958, 741, 695

Given numbers are 336, 214, 846, 728
The greatest common divisor of numbers 336, 214, 846, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 214, 846, 728 is 2.

1. What is the GCD of 336, 214, 846, 728?

GCD of given numbers 336, 214, 846, 728 is 2

2. How to calculate the greatest common divisor of 336, 214, 846, 728?

We can find the highest common divisor of 336, 214, 846, 728 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 336, 214, 846, 728 i.e 2.

3. How can I use the GCD of 336, 214, 846, 728Calculator?

Out the numbers 336, 214, 846, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.