Online GCD Calculator is useful to find the GCD of 800, 718, 750, 166 quickly. Get the easiest ways to solve the greatest common divisor of 800, 718, 750, 166 i.e 2 in different methods as follows.
Given Input numbers are 800, 718, 750, 166
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 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
GCD of numbers is the greatest common divisor
So, the GCD (800, 718, 750, 166) = 2.
Given numbers are 800, 718, 750, 166
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 718 are 2 x 359
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 166 are 2 x 83
The highest common occurrence is 21
Therefore, GCD of 800, 718, 750, 166 is 2.
Given numbers are 800, 718, 750, 166
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 718) = 287200
GCD(800, 718) = ( 800 x 718 ) / 287200
= 800 / 718
= 800
Step2:
LCM(2, 750) = 750
GCD(2, 750) = ( 2 x 750 ) / 750
= 2 / 750
= 2
Step3:
LCM(2, 166) = 166
GCD(2, 166) = ( 2 x 166 ) / 166
= 2 / 166
= 2
So, Greatest Common Divisor of 800, 718, 750, 166 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 718, 750, 166
The greatest common divisor of numbers 800, 718, 750, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 718, 750, 166 is 2.
1. What is the GCD of 800, 718, 750, 166?
GCD of given numbers 800, 718, 750, 166 is 2
2. How to calculate the greatest common divisor of 800, 718, 750, 166?
We can find the highest common divisor of 800, 718, 750, 166 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, 718, 750, 166 i.e 2.
3. How can I use the GCD of 800, 718, 750, 166Calculator?
Out the numbers 800, 718, 750, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.