Online GCD Calculator is useful to find the GCD of 134, 298, 592, 342 quickly. Get the easiest ways to solve the greatest common divisor of 134, 298, 592, 342 i.e 2 in different methods as follows.
Given Input numbers are 134, 298, 592, 342
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 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
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
GCD of numbers is the greatest common divisor
So, the GCD (134, 298, 592, 342) = 2.
Given numbers are 134, 298, 592, 342
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 298 are 2 x 149
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 134, 298, 592, 342 is 2.
Given numbers are 134, 298, 592, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 298) = 19966
GCD(134, 298) = ( 134 x 298 ) / 19966
= 134 / 298
= 134
Step2:
LCM(2, 592) = 592
GCD(2, 592) = ( 2 x 592 ) / 592
= 2 / 592
= 2
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 134, 298, 592, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 298, 592, 342
The greatest common divisor of numbers 134, 298, 592, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 298, 592, 342 is 2.
1. What is the GCD of 134, 298, 592, 342?
GCD of given numbers 134, 298, 592, 342 is 2
2. How to calculate the greatest common divisor of 134, 298, 592, 342?
We can find the highest common divisor of 134, 298, 592, 342 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, 298, 592, 342 i.e 2.
3. How can I use the GCD of 134, 298, 592, 342Calculator?
Out the numbers 134, 298, 592, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.