Online GCD Calculator is useful to find the GCD of 506, 180, 870 quickly. Get the easiest ways to solve the greatest common divisor of 506, 180, 870 i.e 2 in different methods as follows.
Given Input numbers are 506, 180, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
GCD of numbers is the greatest common divisor
So, the GCD (506, 180, 870) = 2.
Given numbers are 506, 180, 870
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 506, 180, 870 is 2.
Given numbers are 506, 180, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 180) = 45540
GCD(506, 180) = ( 506 x 180 ) / 45540
= 506 / 180
= 506
Step2:
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
= 2 / 870
= 2
So, Greatest Common Divisor of 506, 180, 870 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 180, 870
The greatest common divisor of numbers 506, 180, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 180, 870 is 2.
1. What is the GCD of 506, 180, 870?
GCD of given numbers 506, 180, 870 is 2
2. How to calculate the greatest common divisor of 506, 180, 870?
We can find the highest common divisor of 506, 180, 870 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 506, 180, 870 i.e 2.
3. How can I use the GCD of 506, 180, 870Calculator?
Out the numbers 506, 180, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.