GCD of 896, 338, 424, 359 Calculator

Given Input numbers are 896, 338, 424, 359

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

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 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (896, 338, 424, 359) = 1.

Given numbers are 896, 338, 424, 359

The list of prime factors of all numbers are

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 424 are 2 x 2 x 2 x 53

Prime factors of 359 are 359

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 896, 338, 424, 359

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

Apply this formula for all numbers.

Step1:

LCM(896, 338) = 151424

GCD(896, 338) = ( 896 x 338 ) / 151424

= 896 / 338

= 896

Step2:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

Step3:

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

= 2 / 359

= 2

So, Greatest Common Divisor of 896, 338, 424, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 223, 998, 457
• GCD of 230, 978, 854, 686
• GCD of 697, 110, 708, 958
• GCD of 715, 245, 730, 908
• GCD of 849, 397, 323, 303

Given numbers are 896, 338, 424, 359
The greatest common divisor of numbers 896, 338, 424, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 338, 424, 359 is 1.

1. What is the GCD of 896, 338, 424, 359?

GCD of given numbers 896, 338, 424, 359 is 1

2. How to calculate the greatest common divisor of 896, 338, 424, 359?

We can find the highest common divisor of 896, 338, 424, 359 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 896, 338, 424, 359 i.e 1.

3. How can I use the GCD of 896, 338, 424, 359Calculator?

Out the numbers 896, 338, 424, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.