Online GCD Calculator is useful to find the GCD of 180, 816, 146, 514 quickly. Get the easiest ways to solve the greatest common divisor of 180, 816, 146, 514 i.e 2 in different methods as follows.
Given Input numbers are 180, 816, 146, 514
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
GCD of numbers is the greatest common divisor
So, the GCD (180, 816, 146, 514) = 2.
Given numbers are 180, 816, 146, 514
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 146 are 2 x 73
Prime factors of 514 are 2 x 257
The highest common occurrence is 21
Therefore, GCD of 180, 816, 146, 514 is 2.
Given numbers are 180, 816, 146, 514
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 816) = 12240
GCD(180, 816) = ( 180 x 816 ) / 12240
= 180 / 816
= 180
Step2:
LCM(12, 146) = 876
GCD(12, 146) = ( 12 x 146 ) / 876
= 12 / 146
= 12
Step3:
LCM(2, 514) = 514
GCD(2, 514) = ( 2 x 514 ) / 514
= 2 / 514
= 2
So, Greatest Common Divisor of 180, 816, 146, 514 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 816, 146, 514
The greatest common divisor of numbers 180, 816, 146, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 816, 146, 514 is 2.
1. What is the GCD of 180, 816, 146, 514?
GCD of given numbers 180, 816, 146, 514 is 2
2. How to calculate the greatest common divisor of 180, 816, 146, 514?
We can find the highest common divisor of 180, 816, 146, 514 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 180, 816, 146, 514 i.e 2.
3. How can I use the GCD of 180, 816, 146, 514Calculator?
Out the numbers 180, 816, 146, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.