Online GCD Calculator is useful to find the GCD of 396, 342, 900, 796 quickly. Get the easiest ways to solve the greatest common divisor of 396, 342, 900, 796 i.e 2 in different methods as follows.
Given Input numbers are 396, 342, 900, 796
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
GCD of numbers is the greatest common divisor
So, the GCD (396, 342, 900, 796) = 2.
Given numbers are 396, 342, 900, 796
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 796 are 2 x 2 x 199
The highest common occurrence is 21
Therefore, GCD of 396, 342, 900, 796 is 2.
Given numbers are 396, 342, 900, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 342) = 7524
GCD(396, 342) = ( 396 x 342 ) / 7524
= 396 / 342
= 396
Step2:
LCM(18, 900) = 900
GCD(18, 900) = ( 18 x 900 ) / 900
= 18 / 900
= 18
Step3:
LCM(18, 796) = 7164
GCD(18, 796) = ( 18 x 796 ) / 7164
= 18 / 796
= 18
So, Greatest Common Divisor of 396, 342, 900, 796 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 396, 342, 900, 796
The greatest common divisor of numbers 396, 342, 900, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 342, 900, 796 is 2.
1. What is the GCD of 396, 342, 900, 796?
GCD of given numbers 396, 342, 900, 796 is 2
2. How to calculate the greatest common divisor of 396, 342, 900, 796?
We can find the highest common divisor of 396, 342, 900, 796 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 396, 342, 900, 796 i.e 2.
3. How can I use the GCD of 396, 342, 900, 796Calculator?
Out the numbers 396, 342, 900, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.