Online GCD Calculator is useful to find the GCD of 123, 150, 614 quickly. Get the easiest ways to solve the greatest common divisor of 123, 150, 614 i.e 1 in different methods as follows.
Given Input numbers are 123, 150, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (123, 150, 614) = 1.
Given numbers are 123, 150, 614
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 614 are 2 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 150, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 150) = 6150
GCD(123, 150) = ( 123 x 150 ) / 6150
= 123 / 150
= 123
Step2:
LCM(3, 614) = 1842
GCD(3, 614) = ( 3 x 614 ) / 1842
= 3 / 614
= 3
So, Greatest Common Divisor of 123, 150, 614 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 150, 614
The greatest common divisor of numbers 123, 150, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 150, 614 is 1.
1. What is the GCD of 123, 150, 614?
GCD of given numbers 123, 150, 614 is 1
2. How to calculate the greatest common divisor of 123, 150, 614?
We can find the highest common divisor of 123, 150, 614 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 123, 150, 614 i.e 1.
3. How can I use the GCD of 123, 150, 614Calculator?
Out the numbers 123, 150, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.