Online GCD Calculator is useful to find the GCD of 616, 330, 312, 156 quickly. Get the easiest ways to solve the greatest common divisor of 616, 330, 312, 156 i.e 2 in different methods as follows.
Given Input numbers are 616, 330, 312, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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
GCD of numbers is the greatest common divisor
So, the GCD (616, 330, 312, 156) = 2.
Given numbers are 616, 330, 312, 156
The list of prime factors of all numbers are
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 616, 330, 312, 156 is 2.
Given numbers are 616, 330, 312, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 330) = 9240
GCD(616, 330) = ( 616 x 330 ) / 9240
= 616 / 330
= 616
Step2:
LCM(22, 312) = 3432
GCD(22, 312) = ( 22 x 312 ) / 3432
= 22 / 312
= 22
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 616, 330, 312, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 616, 330, 312, 156
The greatest common divisor of numbers 616, 330, 312, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 330, 312, 156 is 2.
1. What is the GCD of 616, 330, 312, 156?
GCD of given numbers 616, 330, 312, 156 is 2
2. How to calculate the greatest common divisor of 616, 330, 312, 156?
We can find the highest common divisor of 616, 330, 312, 156 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 616, 330, 312, 156 i.e 2.
3. How can I use the GCD of 616, 330, 312, 156Calculator?
Out the numbers 616, 330, 312, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.