GCD of 856, 442, 396, 726 Calculator

Given Input numbers are 856, 442, 396, 726

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (856, 442, 396, 726) = 2.

Given numbers are 856, 442, 396, 726

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 442 are 2 x 13 x 17

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 856, 442, 396, 726 is 2.

Given numbers are 856, 442, 396, 726

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

Apply this formula for all numbers.

Step1:

LCM(856, 442) = 189176

GCD(856, 442) = ( 856 x 442 ) / 189176

= 856 / 442

= 856

Step2:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 856, 442, 396, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 911, 727, 248
• GCD of 675, 722, 348, 288
• GCD of 261, 201, 846, 494
• GCD of 584, 775, 238, 339
• GCD of 384, 236, 738, 576

Given numbers are 856, 442, 396, 726
The greatest common divisor of numbers 856, 442, 396, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 442, 396, 726 is 2.

1. What is the GCD of 856, 442, 396, 726?

GCD of given numbers 856, 442, 396, 726 is 2

2. How to calculate the greatest common divisor of 856, 442, 396, 726?

We can find the highest common divisor of 856, 442, 396, 726 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 856, 442, 396, 726 i.e 2.

3. How can I use the GCD of 856, 442, 396, 726Calculator?

Out the numbers 856, 442, 396, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.