GCD of 800, 538, 896, 230 Calculator

Given Input numbers are 800, 538, 896, 230

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

GCD of numbers is the greatest common divisor

So, the GCD (800, 538, 896, 230) = 2.

Given numbers are 800, 538, 896, 230

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 538 are 2 x 269

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

Prime factors of 230 are 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 800, 538, 896, 230 is 2.

Given numbers are 800, 538, 896, 230

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

Apply this formula for all numbers.

Step1:

LCM(800, 538) = 215200

GCD(800, 538) = ( 800 x 538 ) / 215200

= 800 / 538

= 800

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

= 2 / 230

= 2

So, Greatest Common Divisor of 800, 538, 896, 230 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 122, 934, 400
• GCD of 353, 818, 865, 581
• GCD of 411, 415, 594, 855
• GCD of 598, 689, 117, 162
• GCD of 130, 443, 673, 358

Given numbers are 800, 538, 896, 230
The greatest common divisor of numbers 800, 538, 896, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 538, 896, 230 is 2.

1. What is the GCD of 800, 538, 896, 230?

GCD of given numbers 800, 538, 896, 230 is 2

2. How to calculate the greatest common divisor of 800, 538, 896, 230?

We can find the highest common divisor of 800, 538, 896, 230 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 800, 538, 896, 230 i.e 2.

3. How can I use the GCD of 800, 538, 896, 230Calculator?

Out the numbers 800, 538, 896, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.