Online GCD Calculator is useful to find the GCD of 510, 111, 720, 188 quickly. Get the easiest ways to solve the greatest common divisor of 510, 111, 720, 188 i.e 1 in different methods as follows.
Given Input numbers are 510, 111, 720, 188
In the factoring method, we have to find the divisors of all numbers
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
GCD of numbers is the greatest common divisor
So, the GCD (510, 111, 720, 188) = 1.
Given numbers are 510, 111, 720, 188
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 111 are 3 x 37
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 188 are 2 x 2 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 510, 111, 720, 188
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 111) = 18870
GCD(510, 111) = ( 510 x 111 ) / 18870
= 510 / 111
= 510
Step2:
LCM(3, 720) = 720
GCD(3, 720) = ( 3 x 720 ) / 720
= 3 / 720
= 3
Step3:
LCM(3, 188) = 564
GCD(3, 188) = ( 3 x 188 ) / 564
= 3 / 188
= 3
So, Greatest Common Divisor of 510, 111, 720, 188 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 510, 111, 720, 188
The greatest common divisor of numbers 510, 111, 720, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 111, 720, 188 is 1.
1. What is the GCD of 510, 111, 720, 188?
GCD of given numbers 510, 111, 720, 188 is 1
2. How to calculate the greatest common divisor of 510, 111, 720, 188?
We can find the highest common divisor of 510, 111, 720, 188 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 510, 111, 720, 188 i.e 1.
3. How can I use the GCD of 510, 111, 720, 188Calculator?
Out the numbers 510, 111, 720, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.