GCD of 800, 255, 628, 289 Calculator

Given Input numbers are 800, 255, 628, 289

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

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 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (800, 255, 628, 289) = 1.

Given numbers are 800, 255, 628, 289

The list of prime factors of all numbers are

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

Prime factors of 255 are 3 x 5 x 17

Prime factors of 628 are 2 x 2 x 157

Prime factors of 289 are 17 x 17

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

Given numbers are 800, 255, 628, 289

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

Apply this formula for all numbers.

Step1:

LCM(800, 255) = 40800

GCD(800, 255) = ( 800 x 255 ) / 40800

= 800 / 255

= 800

Step2:

LCM(5, 628) = 3140

GCD(5, 628) = ( 5 x 628 ) / 3140

= 5 / 628

= 5

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 800, 255, 628, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 584, 327, 861
• GCD of 373, 762, 407, 974
• GCD of 707, 301, 358, 620
• GCD of 288, 407, 709, 992
• GCD of 732, 123, 271, 559

Given numbers are 800, 255, 628, 289
The greatest common divisor of numbers 800, 255, 628, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 255, 628, 289 is 1.

1. What is the GCD of 800, 255, 628, 289?

GCD of given numbers 800, 255, 628, 289 is 1

2. How to calculate the greatest common divisor of 800, 255, 628, 289?

We can find the highest common divisor of 800, 255, 628, 289 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 800, 255, 628, 289 i.e 1.

3. How can I use the GCD of 800, 255, 628, 289Calculator?

Out the numbers 800, 255, 628, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.