GCD of 800, 855, 105 Calculator

Given Input numbers are 800, 855, 105

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 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (800, 855, 105) = 5.

Given numbers are 800, 855, 105

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 855 are 3 x 3 x 5 x 19

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 800, 855, 105 is 5.

Given numbers are 800, 855, 105

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

Apply this formula for all numbers.

Step1:

LCM(800, 855) = 136800

GCD(800, 855) = ( 800 x 855 ) / 136800

= 800 / 855

= 800

Step2:

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

= 5 / 105

= 5

So, Greatest Common Divisor of 800, 855, 105 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 422, 373
• GCD of 730, 393, 420
• GCD of 824, 421, 395
• GCD of 582, 844, 981
• GCD of 935, 123, 444

Given numbers are 800, 855, 105
The greatest common divisor of numbers 800, 855, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 855, 105 is 5.

1. What is the GCD of 800, 855, 105?

GCD of given numbers 800, 855, 105 is 5

2. How to calculate the greatest common divisor of 800, 855, 105?

We can find the highest common divisor of 800, 855, 105 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, 855, 105 i.e 5.

3. How can I use the GCD of 800, 855, 105Calculator?

Out the numbers 800, 855, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.