Online GCD Calculator is useful to find the GCD of 146, 730, 872, 396 quickly. Get the easiest ways to solve the greatest common divisor of 146, 730, 872, 396 i.e 2 in different methods as follows.
Given Input numbers are 146, 730, 872, 396
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 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (146, 730, 872, 396) = 2.
Given numbers are 146, 730, 872, 396
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 730 are 2 x 5 x 73
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 146, 730, 872, 396 is 2.
Given numbers are 146, 730, 872, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 730) = 730
GCD(146, 730) = ( 146 x 730 ) / 730
= 146 / 730
= 146
Step2:
LCM(146, 872) = 63656
GCD(146, 872) = ( 146 x 872 ) / 63656
= 146 / 872
= 146
Step3:
LCM(2, 396) = 396
GCD(2, 396) = ( 2 x 396 ) / 396
= 2 / 396
= 2
So, Greatest Common Divisor of 146, 730, 872, 396 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 730, 872, 396
The greatest common divisor of numbers 146, 730, 872, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 730, 872, 396 is 2.
1. What is the GCD of 146, 730, 872, 396?
GCD of given numbers 146, 730, 872, 396 is 2
2. How to calculate the greatest common divisor of 146, 730, 872, 396?
We can find the highest common divisor of 146, 730, 872, 396 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, 730, 872, 396 i.e 2.
3. How can I use the GCD of 146, 730, 872, 396Calculator?
Out the numbers 146, 730, 872, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.