GCD of 474, 200, 384 Calculator

Given Input numbers are 474, 200, 384

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (474, 200, 384) = 2.

Given numbers are 474, 200, 384

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 474, 200, 384 is 2.

Given numbers are 474, 200, 384

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

Apply this formula for all numbers.

Step1:

LCM(474, 200) = 47400

GCD(474, 200) = ( 474 x 200 ) / 47400

= 474 / 200

= 474

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 474, 200, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 525, 740
• GCD of 490, 906, 550
• GCD of 288, 581, 681
• GCD of 734, 461, 217
• GCD of 635, 820, 667

Given numbers are 474, 200, 384
The greatest common divisor of numbers 474, 200, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 200, 384 is 2.

1. What is the GCD of 474, 200, 384?

GCD of given numbers 474, 200, 384 is 2

2. How to calculate the greatest common divisor of 474, 200, 384?

We can find the highest common divisor of 474, 200, 384 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 474, 200, 384 i.e 2.

3. How can I use the GCD of 474, 200, 384Calculator?

Out the numbers 474, 200, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.