Online GCD Calculator is useful to find the GCD of 336, 894, 484, 132 quickly. Get the easiest ways to solve the greatest common divisor of 336, 894, 484, 132 i.e 2 in different methods as follows.
Given Input numbers are 336, 894, 484, 132
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 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (336, 894, 484, 132) = 2.
Given numbers are 336, 894, 484, 132
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 894 are 2 x 3 x 149
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 336, 894, 484, 132 is 2.
Given numbers are 336, 894, 484, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 894) = 50064
GCD(336, 894) = ( 336 x 894 ) / 50064
= 336 / 894
= 336
Step2:
LCM(6, 484) = 1452
GCD(6, 484) = ( 6 x 484 ) / 1452
= 6 / 484
= 6
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 336, 894, 484, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 894, 484, 132
The greatest common divisor of numbers 336, 894, 484, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 894, 484, 132 is 2.
1. What is the GCD of 336, 894, 484, 132?
GCD of given numbers 336, 894, 484, 132 is 2
2. How to calculate the greatest common divisor of 336, 894, 484, 132?
We can find the highest common divisor of 336, 894, 484, 132 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, 894, 484, 132 i.e 2.
3. How can I use the GCD of 336, 894, 484, 132Calculator?
Out the numbers 336, 894, 484, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.