Online GCD Calculator is useful to find the GCD of 234, 446, 150, 689 quickly. Get the easiest ways to solve the greatest common divisor of 234, 446, 150, 689 i.e 1 in different methods as follows.
Given Input numbers are 234, 446, 150, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
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 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (234, 446, 150, 689) = 1.
Given numbers are 234, 446, 150, 689
The list of prime factors of all numbers are
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 446 are 2 x 223
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 234, 446, 150, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(234, 446) = 52182
GCD(234, 446) = ( 234 x 446 ) / 52182
= 234 / 446
= 234
Step2:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
Step3:
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
= 2 / 689
= 2
So, Greatest Common Divisor of 234, 446, 150, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 234, 446, 150, 689
The greatest common divisor of numbers 234, 446, 150, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 446, 150, 689 is 1.
1. What is the GCD of 234, 446, 150, 689?
GCD of given numbers 234, 446, 150, 689 is 1
2. How to calculate the greatest common divisor of 234, 446, 150, 689?
We can find the highest common divisor of 234, 446, 150, 689 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 234, 446, 150, 689 i.e 1.
3. How can I use the GCD of 234, 446, 150, 689Calculator?
Out the numbers 234, 446, 150, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.