Online GCD Calculator is useful to find the GCD of 288, 342, 986, 800 quickly. Get the easiest ways to solve the greatest common divisor of 288, 342, 986, 800 i.e 2 in different methods as follows.
Given Input numbers are 288, 342, 986, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
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
GCD of numbers is the greatest common divisor
So, the GCD (288, 342, 986, 800) = 2.
Given numbers are 288, 342, 986, 800
The list of prime factors of all numbers are
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 986 are 2 x 17 x 29
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 288, 342, 986, 800 is 2.
Given numbers are 288, 342, 986, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 342) = 5472
GCD(288, 342) = ( 288 x 342 ) / 5472
= 288 / 342
= 288
Step2:
LCM(18, 986) = 8874
GCD(18, 986) = ( 18 x 986 ) / 8874
= 18 / 986
= 18
Step3:
LCM(2, 800) = 800
GCD(2, 800) = ( 2 x 800 ) / 800
= 2 / 800
= 2
So, Greatest Common Divisor of 288, 342, 986, 800 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 288, 342, 986, 800
The greatest common divisor of numbers 288, 342, 986, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 342, 986, 800 is 2.
1. What is the GCD of 288, 342, 986, 800?
GCD of given numbers 288, 342, 986, 800 is 2
2. How to calculate the greatest common divisor of 288, 342, 986, 800?
We can find the highest common divisor of 288, 342, 986, 800 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 288, 342, 986, 800 i.e 2.
3. How can I use the GCD of 288, 342, 986, 800Calculator?
Out the numbers 288, 342, 986, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.