Online GCD Calculator is useful to find the GCD of 800, 162, 114, 786 quickly. Get the easiest ways to solve the greatest common divisor of 800, 162, 114, 786 i.e 2 in different methods as follows.
Given Input numbers are 800, 162, 114, 786
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 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
GCD of numbers is the greatest common divisor
So, the GCD (800, 162, 114, 786) = 2.
Given numbers are 800, 162, 114, 786
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 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 114 are 2 x 3 x 19
Prime factors of 786 are 2 x 3 x 131
The highest common occurrence is 21
Therefore, GCD of 800, 162, 114, 786 is 2.
Given numbers are 800, 162, 114, 786
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 162) = 64800
GCD(800, 162) = ( 800 x 162 ) / 64800
= 800 / 162
= 800
Step2:
LCM(2, 114) = 114
GCD(2, 114) = ( 2 x 114 ) / 114
= 2 / 114
= 2
Step3:
LCM(2, 786) = 786
GCD(2, 786) = ( 2 x 786 ) / 786
= 2 / 786
= 2
So, Greatest Common Divisor of 800, 162, 114, 786 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 162, 114, 786
The greatest common divisor of numbers 800, 162, 114, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 162, 114, 786 is 2.
1. What is the GCD of 800, 162, 114, 786?
GCD of given numbers 800, 162, 114, 786 is 2
2. How to calculate the greatest common divisor of 800, 162, 114, 786?
We can find the highest common divisor of 800, 162, 114, 786 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, 162, 114, 786 i.e 2.
3. How can I use the GCD of 800, 162, 114, 786Calculator?
Out the numbers 800, 162, 114, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.