GCD of 256, 472, 200 Calculator

Given Input numbers are 256, 472, 200

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 472 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (256, 472, 200) = 8.

Given numbers are 256, 472, 200

The list of prime factors of all numbers are

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

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

The highest common occurrence is 2³

Therefore, GCD of 256, 472, 200 is 8.

Given numbers are 256, 472, 200

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

Apply this formula for all numbers.

Step1:

LCM(256, 472) = 15104

GCD(256, 472) = ( 256 x 472 ) / 15104

= 256 / 472

= 256

Step2:

LCM(8, 200) = 200

GCD(8, 200) = ( 8 x 200 ) / 200

= 8 / 200

= 8

So, Greatest Common Divisor of 256, 472, 200 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 221, 719
• GCD of 786, 328, 633
• GCD of 180, 348, 278
• GCD of 265, 757, 432
• GCD of 553, 813, 374

Given numbers are 256, 472, 200
The greatest common divisor of numbers 256, 472, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 472, 200 is 8.

1. What is the GCD of 256, 472, 200?

GCD of given numbers 256, 472, 200 is 8

2. How to calculate the greatest common divisor of 256, 472, 200?

We can find the highest common divisor of 256, 472, 200 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 256, 472, 200 i.e 8.

3. How can I use the GCD of 256, 472, 200Calculator?

Out the numbers 256, 472, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.