GCD of 256, 136, 396, 426 Calculator

Given Input numbers are 256, 136, 396, 426

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (256, 136, 396, 426) = 2.

Given numbers are 256, 136, 396, 426

The list of prime factors of all numbers are

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 136 are 2 x 2 x 2 x 17

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

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 256, 136, 396, 426 is 2.

Given numbers are 256, 136, 396, 426

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

Apply this formula for all numbers.

Step1:

LCM(256, 136) = 4352

GCD(256, 136) = ( 256 x 136 ) / 4352

= 256 / 136

= 256

Step2:

LCM(8, 396) = 792

GCD(8, 396) = ( 8 x 396 ) / 792

= 8 / 396

= 8

Step3:

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

= 4 / 426

= 4

So, Greatest Common Divisor of 256, 136, 396, 426 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 553, 348, 198
• GCD of 979, 880, 377, 565
• GCD of 151, 489, 803, 731
• GCD of 377, 620, 260, 471
• GCD of 439, 292, 378, 881

Given numbers are 256, 136, 396, 426
The greatest common divisor of numbers 256, 136, 396, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 136, 396, 426 is 2.

1. What is the GCD of 256, 136, 396, 426?

GCD of given numbers 256, 136, 396, 426 is 2

2. How to calculate the greatest common divisor of 256, 136, 396, 426?

We can find the highest common divisor of 256, 136, 396, 426 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 256, 136, 396, 426 i.e 2.

3. How can I use the GCD of 256, 136, 396, 426Calculator?

Out the numbers 256, 136, 396, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.