Online GCD Calculator is useful to find the GCD of 300, 288, 466, 422 quickly. Get the easiest ways to solve the greatest common divisor of 300, 288, 466, 422 i.e 2 in different methods as follows.
Given Input numbers are 300, 288, 466, 422
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (300, 288, 466, 422) = 2.
Given numbers are 300, 288, 466, 422
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 466 are 2 x 233
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 300, 288, 466, 422 is 2.
Given numbers are 300, 288, 466, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 288) = 7200
GCD(300, 288) = ( 300 x 288 ) / 7200
= 300 / 288
= 300
Step2:
LCM(12, 466) = 2796
GCD(12, 466) = ( 12 x 466 ) / 2796
= 12 / 466
= 12
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 300, 288, 466, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 288, 466, 422
The greatest common divisor of numbers 300, 288, 466, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 288, 466, 422 is 2.
1. What is the GCD of 300, 288, 466, 422?
GCD of given numbers 300, 288, 466, 422 is 2
2. How to calculate the greatest common divisor of 300, 288, 466, 422?
We can find the highest common divisor of 300, 288, 466, 422 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 300, 288, 466, 422 i.e 2.
3. How can I use the GCD of 300, 288, 466, 422Calculator?
Out the numbers 300, 288, 466, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.