Online GCD Calculator is useful to find the GCD of 180, 612, 755, 512 quickly. Get the easiest ways to solve the greatest common divisor of 180, 612, 755, 512 i.e 1 in different methods as follows.
Given Input numbers are 180, 612, 755, 512
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
GCD of numbers is the greatest common divisor
So, the GCD (180, 612, 755, 512) = 1.
Given numbers are 180, 612, 755, 512
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 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 755 are 5 x 151
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 612, 755, 512
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 612) = 3060
GCD(180, 612) = ( 180 x 612 ) / 3060
= 180 / 612
= 180
Step2:
LCM(36, 755) = 27180
GCD(36, 755) = ( 36 x 755 ) / 27180
= 36 / 755
= 36
Step3:
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
= 1 / 512
= 1
So, Greatest Common Divisor of 180, 612, 755, 512 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 612, 755, 512
The greatest common divisor of numbers 180, 612, 755, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 612, 755, 512 is 1.
1. What is the GCD of 180, 612, 755, 512?
GCD of given numbers 180, 612, 755, 512 is 1
2. How to calculate the greatest common divisor of 180, 612, 755, 512?
We can find the highest common divisor of 180, 612, 755, 512 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, 612, 755, 512 i.e 1.
3. How can I use the GCD of 180, 612, 755, 512Calculator?
Out the numbers 180, 612, 755, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.