Online GCD Calculator is useful to find the GCD of 342, 399, 165 quickly. Get the easiest ways to solve the greatest common divisor of 342, 399, 165 i.e 3 in different methods as follows.
Given Input numbers are 342, 399, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
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 (342, 399, 165) = 3.
Given numbers are 342, 399, 165
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 399 are 3 x 7 x 19
Prime factors of 165 are 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 342, 399, 165 is 3.
Given numbers are 342, 399, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 399) = 2394
GCD(342, 399) = ( 342 x 399 ) / 2394
= 342 / 399
= 342
Step2:
LCM(57, 165) = 3135
GCD(57, 165) = ( 57 x 165 ) / 3135
= 57 / 165
= 57
So, Greatest Common Divisor of 342, 399, 165 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 399, 165
The greatest common divisor of numbers 342, 399, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 399, 165 is 3.
1. What is the GCD of 342, 399, 165?
GCD of given numbers 342, 399, 165 is 3
2. How to calculate the greatest common divisor of 342, 399, 165?
We can find the highest common divisor of 342, 399, 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 342, 399, 165 i.e 3.
3. How can I use the GCD of 342, 399, 165Calculator?
Out the numbers 342, 399, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.