Online GCD Calculator is useful to find the GCD of 134, 342, 289, 918 quickly. Get the easiest ways to solve the greatest common divisor of 134, 342, 289, 918 i.e 1 in different methods as follows.
Given Input numbers are 134, 342, 289, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
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 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (134, 342, 289, 918) = 1.
Given numbers are 134, 342, 289, 918
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 289 are 17 x 17
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 134, 342, 289, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 342) = 22914
GCD(134, 342) = ( 134 x 342 ) / 22914
= 134 / 342
= 134
Step2:
LCM(2, 289) = 578
GCD(2, 289) = ( 2 x 289 ) / 578
= 2 / 289
= 2
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 134, 342, 289, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 342, 289, 918
The greatest common divisor of numbers 134, 342, 289, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 342, 289, 918 is 1.
1. What is the GCD of 134, 342, 289, 918?
GCD of given numbers 134, 342, 289, 918 is 1
2. How to calculate the greatest common divisor of 134, 342, 289, 918?
We can find the highest common divisor of 134, 342, 289, 918 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 134, 342, 289, 918 i.e 1.
3. How can I use the GCD of 134, 342, 289, 918Calculator?
Out the numbers 134, 342, 289, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.