Online GCD Calculator is useful to find the GCD of 336, 732, 822, 146 quickly. Get the easiest ways to solve the greatest common divisor of 336, 732, 822, 146 i.e 2 in different methods as follows.
Given Input numbers are 336, 732, 822, 146
In the factoring method, we have to find the divisors of all numbers
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
GCD of numbers is the greatest common divisor
So, the GCD (336, 732, 822, 146) = 2.
Given numbers are 336, 732, 822, 146
The list of prime factors of all numbers are
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 822 are 2 x 3 x 137
Prime factors of 146 are 2 x 73
The highest common occurrence is 21
Therefore, GCD of 336, 732, 822, 146 is 2.
Given numbers are 336, 732, 822, 146
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 732) = 20496
GCD(336, 732) = ( 336 x 732 ) / 20496
= 336 / 732
= 336
Step2:
LCM(12, 822) = 1644
GCD(12, 822) = ( 12 x 822 ) / 1644
= 12 / 822
= 12
Step3:
LCM(6, 146) = 438
GCD(6, 146) = ( 6 x 146 ) / 438
= 6 / 146
= 6
So, Greatest Common Divisor of 336, 732, 822, 146 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 732, 822, 146
The greatest common divisor of numbers 336, 732, 822, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 732, 822, 146 is 2.
1. What is the GCD of 336, 732, 822, 146?
GCD of given numbers 336, 732, 822, 146 is 2
2. How to calculate the greatest common divisor of 336, 732, 822, 146?
We can find the highest common divisor of 336, 732, 822, 146 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 336, 732, 822, 146 i.e 2.
3. How can I use the GCD of 336, 732, 822, 146Calculator?
Out the numbers 336, 732, 822, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.