Online GCD Calculator is useful to find the GCD of 398, 414, 164, 134 quickly. Get the easiest ways to solve the greatest common divisor of 398, 414, 164, 134 i.e 2 in different methods as follows.
Given Input numbers are 398, 414, 164, 134
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
GCD of numbers is the greatest common divisor
So, the GCD (398, 414, 164, 134) = 2.
Given numbers are 398, 414, 164, 134
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 164 are 2 x 2 x 41
Prime factors of 134 are 2 x 67
The highest common occurrence is 21
Therefore, GCD of 398, 414, 164, 134 is 2.
Given numbers are 398, 414, 164, 134
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 414) = 82386
GCD(398, 414) = ( 398 x 414 ) / 82386
= 398 / 414
= 398
Step2:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
Step3:
LCM(2, 134) = 134
GCD(2, 134) = ( 2 x 134 ) / 134
= 2 / 134
= 2
So, Greatest Common Divisor of 398, 414, 164, 134 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 414, 164, 134
The greatest common divisor of numbers 398, 414, 164, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 414, 164, 134 is 2.
1. What is the GCD of 398, 414, 164, 134?
GCD of given numbers 398, 414, 164, 134 is 2
2. How to calculate the greatest common divisor of 398, 414, 164, 134?
We can find the highest common divisor of 398, 414, 164, 134 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 398, 414, 164, 134 i.e 2.
3. How can I use the GCD of 398, 414, 164, 134Calculator?
Out the numbers 398, 414, 164, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.