GCD of 904, 188, 400 Calculator

Given Input numbers are 904, 188, 400

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

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

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

GCD of numbers is the greatest common divisor

So, the GCD (904, 188, 400) = 4.

Given numbers are 904, 188, 400

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 188 are 2 x 2 x 47

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

The highest common occurrence is 2²

Therefore, GCD of 904, 188, 400 is 4.

Given numbers are 904, 188, 400

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

Apply this formula for all numbers.

Step1:

LCM(904, 188) = 42488

GCD(904, 188) = ( 904 x 188 ) / 42488

= 904 / 188

= 904

Step2:

LCM(4, 400) = 400

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

= 4 / 400

= 4

So, Greatest Common Divisor of 904, 188, 400 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 183, 443
• GCD of 505, 598, 625
• GCD of 414, 749, 802
• GCD of 768, 293, 512
• GCD of 758, 515, 448

Given numbers are 904, 188, 400
The greatest common divisor of numbers 904, 188, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 188, 400 is 4.

1. What is the GCD of 904, 188, 400?

GCD of given numbers 904, 188, 400 is 4

2. How to calculate the greatest common divisor of 904, 188, 400?

We can find the highest common divisor of 904, 188, 400 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 904, 188, 400 i.e 4.

3. How can I use the GCD of 904, 188, 400Calculator?

Out the numbers 904, 188, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.