Online GCD Calculator is useful to find the GCD of 930, 400, 189 quickly. Get the easiest ways to solve the greatest common divisor of 930, 400, 189 i.e 1 in different methods as follows.
Given Input numbers are 930, 400, 189
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (930, 400, 189) = 1.
Given numbers are 930, 400, 189
The list of prime factors of all numbers are
Prime factors of 930 are 2 x 3 x 5 x 31
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 189 are 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 930, 400, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(930, 400) = 37200
GCD(930, 400) = ( 930 x 400 ) / 37200
= 930 / 400
= 930
Step2:
LCM(10, 189) = 1890
GCD(10, 189) = ( 10 x 189 ) / 1890
= 10 / 189
= 10
So, Greatest Common Divisor of 930, 400, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 930, 400, 189
The greatest common divisor of numbers 930, 400, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 930, 400, 189 is 1.
1. What is the GCD of 930, 400, 189?
GCD of given numbers 930, 400, 189 is 1
2. How to calculate the greatest common divisor of 930, 400, 189?
We can find the highest common divisor of 930, 400, 189 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, 400, 189 i.e 1.
3. How can I use the GCD of 930, 400, 189Calculator?
Out the numbers 930, 400, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.