Online GCD Calculator is useful to find the GCD of 800, 812, 550 quickly. Get the easiest ways to solve the greatest common divisor of 800, 812, 550 i.e 2 in different methods as follows.
Given Input numbers are 800, 812, 550
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 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
GCD of numbers is the greatest common divisor
So, the GCD (800, 812, 550) = 2.
Given numbers are 800, 812, 550
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 812 are 2 x 2 x 7 x 29
Prime factors of 550 are 2 x 5 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 800, 812, 550 is 2.
Given numbers are 800, 812, 550
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 812) = 162400
GCD(800, 812) = ( 800 x 812 ) / 162400
= 800 / 812
= 800
Step2:
LCM(4, 550) = 1100
GCD(4, 550) = ( 4 x 550 ) / 1100
= 4 / 550
= 4
So, Greatest Common Divisor of 800, 812, 550 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 812, 550
The greatest common divisor of numbers 800, 812, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 812, 550 is 2.
1. What is the GCD of 800, 812, 550?
GCD of given numbers 800, 812, 550 is 2
2. How to calculate the greatest common divisor of 800, 812, 550?
We can find the highest common divisor of 800, 812, 550 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, 812, 550 i.e 2.
3. How can I use the GCD of 800, 812, 550Calculator?
Out the numbers 800, 812, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.