GCD of 728, 228, 400, 116 Calculator

Given Input numbers are 728, 228, 400, 116

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (728, 228, 400, 116) = 4.

Given numbers are 728, 228, 400, 116

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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 116 are 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 728, 228, 400, 116 is 4.

Given numbers are 728, 228, 400, 116

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

Apply this formula for all numbers.

Step1:

LCM(728, 228) = 41496

GCD(728, 228) = ( 728 x 228 ) / 41496

= 728 / 228

= 728

Step2:

LCM(4, 400) = 400

GCD(4, 400) = ( 4 x 400 ) / 400

= 4 / 400

= 4

Step3:

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

= 4 / 116

= 4

So, Greatest Common Divisor of 728, 228, 400, 116 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 458, 737, 891
• GCD of 162, 987, 653, 893
• GCD of 337, 742, 964, 194
• GCD of 349, 896, 572, 960
• GCD of 531, 175, 936, 958

Given numbers are 728, 228, 400, 116
The greatest common divisor of numbers 728, 228, 400, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 228, 400, 116 is 4.

1. What is the GCD of 728, 228, 400, 116?

GCD of given numbers 728, 228, 400, 116 is 4

2. How to calculate the greatest common divisor of 728, 228, 400, 116?

We can find the highest common divisor of 728, 228, 400, 116 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 728, 228, 400, 116 i.e 4.

3. How can I use the GCD of 728, 228, 400, 116Calculator?

Out the numbers 728, 228, 400, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.