GCD of 462, 896, 338, 856 Calculator

Given Input numbers are 462, 896, 338, 856

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 856 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 896, 338, 856) = 2.

Given numbers are 462, 896, 338, 856

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 338 are 2 x 13 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 462, 896, 338, 856 is 2.

Given numbers are 462, 896, 338, 856

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

Apply this formula for all numbers.

Step1:

LCM(462, 896) = 29568

GCD(462, 896) = ( 462 x 896 ) / 29568

= 462 / 896

= 462

Step2:

LCM(14, 338) = 2366

GCD(14, 338) = ( 14 x 338 ) / 2366

= 14 / 338

= 14

Step3:

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

= 2 / 856

= 2

So, Greatest Common Divisor of 462, 896, 338, 856 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 934, 115, 516
• GCD of 857, 807, 464, 169
• GCD of 612, 444, 930, 456
• GCD of 241, 431, 929, 749
• GCD of 381, 281, 867, 263

Given numbers are 462, 896, 338, 856
The greatest common divisor of numbers 462, 896, 338, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 896, 338, 856 is 2.

1. What is the GCD of 462, 896, 338, 856?

GCD of given numbers 462, 896, 338, 856 is 2

2. How to calculate the greatest common divisor of 462, 896, 338, 856?

We can find the highest common divisor of 462, 896, 338, 856 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 462, 896, 338, 856 i.e 2.

3. How can I use the GCD of 462, 896, 338, 856Calculator?

Out the numbers 462, 896, 338, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.