GCD of 800, 255, 363, 772 Calculator

Given Input numbers are 800, 255, 363, 772

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (800, 255, 363, 772) = 1.

Given numbers are 800, 255, 363, 772

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 363 are 3 x 11 x 11

Prime factors of 772 are 2 x 2 x 193

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

Given numbers are 800, 255, 363, 772

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, 363) = 1815

GCD(5, 363) = ( 5 x 363 ) / 1815

= 5 / 363

= 5

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 800, 255, 363, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 495, 191, 366
• GCD of 824, 103, 797, 590
• GCD of 784, 249, 625, 498
• GCD of 535, 908, 121, 665
• GCD of 420, 595, 244, 913

Given numbers are 800, 255, 363, 772
The greatest common divisor of numbers 800, 255, 363, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 255, 363, 772 is 1.

1. What is the GCD of 800, 255, 363, 772?

GCD of given numbers 800, 255, 363, 772 is 1

2. How to calculate the greatest common divisor of 800, 255, 363, 772?

We can find the highest common divisor of 800, 255, 363, 772 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, 363, 772 i.e 1.

3. How can I use the GCD of 800, 255, 363, 772Calculator?

Out the numbers 800, 255, 363, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.