GCD of 472, 576, 400 Calculator

Given Input numbers are 472, 576, 400

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 (472, 576, 400) = 8.

Given numbers are 472, 576, 400

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2³

Therefore, GCD of 472, 576, 400 is 8.

Given numbers are 472, 576, 400

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

Apply this formula for all numbers.

Step1:

LCM(472, 576) = 33984

GCD(472, 576) = ( 472 x 576 ) / 33984

= 472 / 576

= 472

Step2:

LCM(8, 400) = 400

GCD(8, 400) = ( 8 x 400 ) / 400

= 8 / 400

= 8

So, Greatest Common Divisor of 472, 576, 400 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 734, 819
• GCD of 928, 601, 939
• GCD of 947, 830, 289
• GCD of 861, 484, 485
• GCD of 621, 403, 484

Given numbers are 472, 576, 400
The greatest common divisor of numbers 472, 576, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 576, 400 is 8.

1. What is the GCD of 472, 576, 400?

GCD of given numbers 472, 576, 400 is 8

2. How to calculate the greatest common divisor of 472, 576, 400?

We can find the highest common divisor of 472, 576, 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 472, 576, 400 i.e 8.

3. How can I use the GCD of 472, 576, 400Calculator?

Out the numbers 472, 576, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.