Online GCD Calculator is useful to find the GCD of 501, 314, 189 quickly. Get the easiest ways to solve the greatest common divisor of 501, 314, 189 i.e 1 in different methods as follows.
Given Input numbers are 501, 314, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
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 (501, 314, 189) = 1.
Given numbers are 501, 314, 189
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 314 are 2 x 157
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 501, 314, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 314) = 157314
GCD(501, 314) = ( 501 x 314 ) / 157314
= 501 / 314
= 501
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
So, Greatest Common Divisor of 501, 314, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 314, 189
The greatest common divisor of numbers 501, 314, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 314, 189 is 1.
1. What is the GCD of 501, 314, 189?
GCD of given numbers 501, 314, 189 is 1
2. How to calculate the greatest common divisor of 501, 314, 189?
We can find the highest common divisor of 501, 314, 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 501, 314, 189 i.e 1.
3. How can I use the GCD of 501, 314, 189Calculator?
Out the numbers 501, 314, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.