Online GCD Calculator is useful to find the GCD of 336, 156, 954, 584 quickly. Get the easiest ways to solve the greatest common divisor of 336, 156, 954, 584 i.e 2 in different methods as follows.
Given Input numbers are 336, 156, 954, 584
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 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (336, 156, 954, 584) = 2.
Given numbers are 336, 156, 954, 584
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 156 are 2 x 2 x 3 x 13
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 584 are 2 x 2 x 2 x 73
The highest common occurrence is 21
Therefore, GCD of 336, 156, 954, 584 is 2.
Given numbers are 336, 156, 954, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 156) = 4368
GCD(336, 156) = ( 336 x 156 ) / 4368
= 336 / 156
= 336
Step2:
LCM(12, 954) = 1908
GCD(12, 954) = ( 12 x 954 ) / 1908
= 12 / 954
= 12
Step3:
LCM(6, 584) = 1752
GCD(6, 584) = ( 6 x 584 ) / 1752
= 6 / 584
= 6
So, Greatest Common Divisor of 336, 156, 954, 584 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 156, 954, 584
The greatest common divisor of numbers 336, 156, 954, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 156, 954, 584 is 2.
1. What is the GCD of 336, 156, 954, 584?
GCD of given numbers 336, 156, 954, 584 is 2
2. How to calculate the greatest common divisor of 336, 156, 954, 584?
We can find the highest common divisor of 336, 156, 954, 584 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, 156, 954, 584 i.e 2.
3. How can I use the GCD of 336, 156, 954, 584Calculator?
Out the numbers 336, 156, 954, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.