Online GCD Calculator is useful to find the GCD of 144, 957, 330, 214 quickly. Get the easiest ways to solve the greatest common divisor of 144, 957, 330, 214 i.e 1 in different methods as follows.
Given Input numbers are 144, 957, 330, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (144, 957, 330, 214) = 1.
Given numbers are 144, 957, 330, 214
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 957 are 3 x 11 x 29
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 214 are 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 957, 330, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 957) = 45936
GCD(144, 957) = ( 144 x 957 ) / 45936
= 144 / 957
= 144
Step2:
LCM(3, 330) = 330
GCD(3, 330) = ( 3 x 330 ) / 330
= 3 / 330
= 3
Step3:
LCM(3, 214) = 642
GCD(3, 214) = ( 3 x 214 ) / 642
= 3 / 214
= 3
So, Greatest Common Divisor of 144, 957, 330, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 957, 330, 214
The greatest common divisor of numbers 144, 957, 330, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 957, 330, 214 is 1.
1. What is the GCD of 144, 957, 330, 214?
GCD of given numbers 144, 957, 330, 214 is 1
2. How to calculate the greatest common divisor of 144, 957, 330, 214?
We can find the highest common divisor of 144, 957, 330, 214 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 144, 957, 330, 214 i.e 1.
3. How can I use the GCD of 144, 957, 330, 214Calculator?
Out the numbers 144, 957, 330, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.