GCD of 800, 365, 815 Calculator

Given Input numbers are 800, 365, 815

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 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

GCD of numbers is the greatest common divisor

So, the GCD (800, 365, 815) = 5.

Given numbers are 800, 365, 815

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 365 are 5 x 73

Prime factors of 815 are 5 x 163

The highest common occurrence is 5¹

Therefore, GCD of 800, 365, 815 is 5.

Given numbers are 800, 365, 815

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

Apply this formula for all numbers.

Step1:

LCM(800, 365) = 58400

GCD(800, 365) = ( 800 x 365 ) / 58400

= 800 / 365

= 800

Step2:

LCM(5, 815) = 815

GCD(5, 815) = ( 5 x 815 ) / 815

= 5 / 815

= 5

So, Greatest Common Divisor of 800, 365, 815 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 789, 127
• GCD of 954, 303, 814
• GCD of 443, 948, 346
• GCD of 927, 690, 831
• GCD of 222, 543, 974

Given numbers are 800, 365, 815
The greatest common divisor of numbers 800, 365, 815 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 365, 815 is 5.

1. What is the GCD of 800, 365, 815?

GCD of given numbers 800, 365, 815 is 5

2. How to calculate the greatest common divisor of 800, 365, 815?

We can find the highest common divisor of 800, 365, 815 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, 365, 815 i.e 5.

3. How can I use the GCD of 800, 365, 815Calculator?

Out the numbers 800, 365, 815 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.