GCD of 228, 400, 432, 834 Calculator

Given Input numbers are 228, 400, 432, 834

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

GCD of numbers is the greatest common divisor

So, the GCD (228, 400, 432, 834) = 2.

Given numbers are 228, 400, 432, 834

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 2¹

Therefore, GCD of 228, 400, 432, 834 is 2.

Given numbers are 228, 400, 432, 834

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

Apply this formula for all numbers.

Step1:

LCM(228, 400) = 22800

GCD(228, 400) = ( 228 x 400 ) / 22800

= 228 / 400

= 228

Step2:

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

= 4 / 432

= 4

Step3:

LCM(4, 834) = 1668

GCD(4, 834) = ( 4 x 834 ) / 1668

= 4 / 834

= 4

So, Greatest Common Divisor of 228, 400, 432, 834 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 505, 754, 909
• GCD of 577, 696, 243, 496
• GCD of 289, 345, 982, 712
• GCD of 946, 964, 778, 356
• GCD of 167, 394, 356, 361

Given numbers are 228, 400, 432, 834
The greatest common divisor of numbers 228, 400, 432, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 400, 432, 834 is 2.

1. What is the GCD of 228, 400, 432, 834?

GCD of given numbers 228, 400, 432, 834 is 2

2. How to calculate the greatest common divisor of 228, 400, 432, 834?

We can find the highest common divisor of 228, 400, 432, 834 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 228, 400, 432, 834 i.e 2.

3. How can I use the GCD of 228, 400, 432, 834Calculator?

Out the numbers 228, 400, 432, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.