GCD of 400, 444, 108 Calculator

Given Input numbers are 400, 444, 108

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

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 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (400, 444, 108) = 4.

Given numbers are 400, 444, 108

The list of prime factors of all numbers are

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

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 400, 444, 108 is 4.

Given numbers are 400, 444, 108

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

Apply this formula for all numbers.

Step1:

LCM(400, 444) = 44400

GCD(400, 444) = ( 400 x 444 ) / 44400

= 400 / 444

= 400

Step2:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4

So, Greatest Common Divisor of 400, 444, 108 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 318, 886
• GCD of 153, 683, 414
• GCD of 493, 900, 840
• GCD of 339, 982, 390
• GCD of 204, 542, 997

Given numbers are 400, 444, 108
The greatest common divisor of numbers 400, 444, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 444, 108 is 4.

1. What is the GCD of 400, 444, 108?

GCD of given numbers 400, 444, 108 is 4

2. How to calculate the greatest common divisor of 400, 444, 108?

We can find the highest common divisor of 400, 444, 108 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 400, 444, 108 i.e 4.

3. How can I use the GCD of 400, 444, 108Calculator?

Out the numbers 400, 444, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.