Online GCD Calculator is useful to find the GCD of 150, 164, 822 quickly. Get the easiest ways to solve the greatest common divisor of 150, 164, 822 i.e 2 in different methods as follows.
Given Input numbers are 150, 164, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (150, 164, 822) = 2.
Given numbers are 150, 164, 822
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 164 are 2 x 2 x 41
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 150, 164, 822 is 2.
Given numbers are 150, 164, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 164) = 12300
GCD(150, 164) = ( 150 x 164 ) / 12300
= 150 / 164
= 150
Step2:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
So, Greatest Common Divisor of 150, 164, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 164, 822
The greatest common divisor of numbers 150, 164, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 164, 822 is 2.
1. What is the GCD of 150, 164, 822?
GCD of given numbers 150, 164, 822 is 2
2. How to calculate the greatest common divisor of 150, 164, 822?
We can find the highest common divisor of 150, 164, 822 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 150, 164, 822 i.e 2.
3. How can I use the GCD of 150, 164, 822Calculator?
Out the numbers 150, 164, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.