Online GCD Calculator is useful to find the GCD of 234, 444, 756, 165 quickly. Get the easiest ways to solve the greatest common divisor of 234, 444, 756, 165 i.e 3 in different methods as follows.
Given Input numbers are 234, 444, 756, 165
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 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (234, 444, 756, 165) = 3.
Given numbers are 234, 444, 756, 165
The list of prime factors of all numbers are
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 165 are 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 234, 444, 756, 165 is 3.
Given numbers are 234, 444, 756, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(234, 444) = 17316
GCD(234, 444) = ( 234 x 444 ) / 17316
= 234 / 444
= 234
Step2:
LCM(6, 756) = 756
GCD(6, 756) = ( 6 x 756 ) / 756
= 6 / 756
= 6
Step3:
LCM(6, 165) = 330
GCD(6, 165) = ( 6 x 165 ) / 330
= 6 / 165
= 6
So, Greatest Common Divisor of 234, 444, 756, 165 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 234, 444, 756, 165
The greatest common divisor of numbers 234, 444, 756, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 444, 756, 165 is 3.
1. What is the GCD of 234, 444, 756, 165?
GCD of given numbers 234, 444, 756, 165 is 3
2. How to calculate the greatest common divisor of 234, 444, 756, 165?
We can find the highest common divisor of 234, 444, 756, 165 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, 444, 756, 165 i.e 3.
3. How can I use the GCD of 234, 444, 756, 165Calculator?
Out the numbers 234, 444, 756, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.