GCD of 489, 800, 206, 205 Calculator

Given Input numbers are 489, 800, 206, 205

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 205 :

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

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (489, 800, 206, 205) = 1.

Given numbers are 489, 800, 206, 205

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 206 are 2 x 103

Prime factors of 205 are 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 489, 800, 206, 205

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

Apply this formula for all numbers.

Step1:

LCM(489, 800) = 391200

GCD(489, 800) = ( 489 x 800 ) / 391200

= 489 / 800

= 489

Step2:

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

= 1 / 206

= 1

Step3:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

So, Greatest Common Divisor of 489, 800, 206, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 268, 441, 633
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• GCD of 969, 593, 835, 981
• GCD of 238, 573, 127, 669
• GCD of 526, 479, 489, 760

Given numbers are 489, 800, 206, 205
The greatest common divisor of numbers 489, 800, 206, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 800, 206, 205 is 1.

1. What is the GCD of 489, 800, 206, 205?

GCD of given numbers 489, 800, 206, 205 is 1

2. How to calculate the greatest common divisor of 489, 800, 206, 205?

We can find the highest common divisor of 489, 800, 206, 205 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 489, 800, 206, 205 i.e 1.

3. How can I use the GCD of 489, 800, 206, 205Calculator?

Out the numbers 489, 800, 206, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.