GCD of 320, 205, 200 Calculator

Given Input numbers are 320, 205, 200

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

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 (320, 205, 200) = 5.

Given numbers are 320, 205, 200

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 205 are 5 x 41

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

The highest common occurrence is 5¹

Therefore, GCD of 320, 205, 200 is 5.

Given numbers are 320, 205, 200

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

Apply this formula for all numbers.

Step1:

LCM(320, 205) = 13120

GCD(320, 205) = ( 320 x 205 ) / 13120

= 320 / 205

= 320

Step2:

LCM(5, 200) = 200

GCD(5, 200) = ( 5 x 200 ) / 200

= 5 / 200

= 5

So, Greatest Common Divisor of 320, 205, 200 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 523, 615
• GCD of 661, 685, 348
• GCD of 638, 731, 408
• GCD of 610, 382, 199
• GCD of 767, 566, 390

Given numbers are 320, 205, 200
The greatest common divisor of numbers 320, 205, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 205, 200 is 5.

1. What is the GCD of 320, 205, 200?

GCD of given numbers 320, 205, 200 is 5

2. How to calculate the greatest common divisor of 320, 205, 200?

We can find the highest common divisor of 320, 205, 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 320, 205, 200 i.e 5.

3. How can I use the GCD of 320, 205, 200Calculator?

Out the numbers 320, 205, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.