Online GCD Calculator is useful to find the GCD of 342, 162, 255, 308 quickly. Get the easiest ways to solve the greatest common divisor of 342, 162, 255, 308 i.e 1 in different methods as follows.
Given Input numbers are 342, 162, 255, 308
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 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (342, 162, 255, 308) = 1.
Given numbers are 342, 162, 255, 308
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 255 are 3 x 5 x 17
Prime factors of 308 are 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 342, 162, 255, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 162) = 3078
GCD(342, 162) = ( 342 x 162 ) / 3078
= 342 / 162
= 342
Step2:
LCM(18, 255) = 1530
GCD(18, 255) = ( 18 x 255 ) / 1530
= 18 / 255
= 18
Step3:
LCM(3, 308) = 924
GCD(3, 308) = ( 3 x 308 ) / 924
= 3 / 308
= 3
So, Greatest Common Divisor of 342, 162, 255, 308 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 162, 255, 308
The greatest common divisor of numbers 342, 162, 255, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 162, 255, 308 is 1.
1. What is the GCD of 342, 162, 255, 308?
GCD of given numbers 342, 162, 255, 308 is 1
2. How to calculate the greatest common divisor of 342, 162, 255, 308?
We can find the highest common divisor of 342, 162, 255, 308 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, 162, 255, 308 i.e 1.
3. How can I use the GCD of 342, 162, 255, 308Calculator?
Out the numbers 342, 162, 255, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.