Online GCD Calculator is useful to find the GCD of 312, 608, 452, 180 quickly. Get the easiest ways to solve the greatest common divisor of 312, 608, 452, 180 i.e 4 in different methods as follows.
Given Input numbers are 312, 608, 452, 180
In the factoring method, we have to find the divisors of all numbers
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 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (312, 608, 452, 180) = 4.
Given numbers are 312, 608, 452, 180
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 452 are 2 x 2 x 113
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 312, 608, 452, 180 is 4.
Given numbers are 312, 608, 452, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 608) = 23712
GCD(312, 608) = ( 312 x 608 ) / 23712
= 312 / 608
= 312
Step2:
LCM(8, 452) = 904
GCD(8, 452) = ( 8 x 452 ) / 904
= 8 / 452
= 8
Step3:
LCM(4, 180) = 180
GCD(4, 180) = ( 4 x 180 ) / 180
= 4 / 180
= 4
So, Greatest Common Divisor of 312, 608, 452, 180 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 608, 452, 180
The greatest common divisor of numbers 312, 608, 452, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 608, 452, 180 is 4.
1. What is the GCD of 312, 608, 452, 180?
GCD of given numbers 312, 608, 452, 180 is 4
2. How to calculate the greatest common divisor of 312, 608, 452, 180?
We can find the highest common divisor of 312, 608, 452, 180 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 312, 608, 452, 180 i.e 4.
3. How can I use the GCD of 312, 608, 452, 180Calculator?
Out the numbers 312, 608, 452, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.