Online GCD Calculator is useful to find the GCD of 930, 460, 180 quickly. Get the easiest ways to solve the greatest common divisor of 930, 460, 180 i.e 10 in different methods as follows.
Given Input numbers are 930, 460, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 930 :
The positive integer divisors of 930 that completely divides 930 are.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 (930, 460, 180) = 10.
Given numbers are 930, 460, 180
The list of prime factors of all numbers are
Prime factors of 930 are 2 x 3 x 5 x 31
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 930, 460, 180 is 10.
Given numbers are 930, 460, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(930, 460) = 42780
GCD(930, 460) = ( 930 x 460 ) / 42780
= 930 / 460
= 930
Step2:
LCM(10, 180) = 180
GCD(10, 180) = ( 10 x 180 ) / 180
= 10 / 180
= 10
So, Greatest Common Divisor of 930, 460, 180 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 930, 460, 180
The greatest common divisor of numbers 930, 460, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 930, 460, 180 is 10.
1. What is the GCD of 930, 460, 180?
GCD of given numbers 930, 460, 180 is 10
2. How to calculate the greatest common divisor of 930, 460, 180?
We can find the highest common divisor of 930, 460, 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 930, 460, 180 i.e 10.
3. How can I use the GCD of 930, 460, 180Calculator?
Out the numbers 930, 460, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.