Online GCD Calculator is useful to find the GCD of 146, 380, 318, 822 quickly. Get the easiest ways to solve the greatest common divisor of 146, 380, 318, 822 i.e 2 in different methods as follows.
Given Input numbers are 146, 380, 318, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
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 (146, 380, 318, 822) = 2.
Given numbers are 146, 380, 318, 822
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 318 are 2 x 3 x 53
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 146, 380, 318, 822 is 2.
Given numbers are 146, 380, 318, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 380) = 27740
GCD(146, 380) = ( 146 x 380 ) / 27740
= 146 / 380
= 146
Step2:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
Step3:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
So, Greatest Common Divisor of 146, 380, 318, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 380, 318, 822
The greatest common divisor of numbers 146, 380, 318, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 380, 318, 822 is 2.
1. What is the GCD of 146, 380, 318, 822?
GCD of given numbers 146, 380, 318, 822 is 2
2. How to calculate the greatest common divisor of 146, 380, 318, 822?
We can find the highest common divisor of 146, 380, 318, 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 146, 380, 318, 822 i.e 2.
3. How can I use the GCD of 146, 380, 318, 822Calculator?
Out the numbers 146, 380, 318, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.