Online GCD Calculator is useful to find the GCD of 398, 218, 196, 604 quickly. Get the easiest ways to solve the greatest common divisor of 398, 218, 196, 604 i.e 2 in different methods as follows.
Given Input numbers are 398, 218, 196, 604
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 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
GCD of numbers is the greatest common divisor
So, the GCD (398, 218, 196, 604) = 2.
Given numbers are 398, 218, 196, 604
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 218 are 2 x 109
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 604 are 2 x 2 x 151
The highest common occurrence is 21
Therefore, GCD of 398, 218, 196, 604 is 2.
Given numbers are 398, 218, 196, 604
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 218) = 43382
GCD(398, 218) = ( 398 x 218 ) / 43382
= 398 / 218
= 398
Step2:
LCM(2, 196) = 196
GCD(2, 196) = ( 2 x 196 ) / 196
= 2 / 196
= 2
Step3:
LCM(2, 604) = 604
GCD(2, 604) = ( 2 x 604 ) / 604
= 2 / 604
= 2
So, Greatest Common Divisor of 398, 218, 196, 604 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 218, 196, 604
The greatest common divisor of numbers 398, 218, 196, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 218, 196, 604 is 2.
1. What is the GCD of 398, 218, 196, 604?
GCD of given numbers 398, 218, 196, 604 is 2
2. How to calculate the greatest common divisor of 398, 218, 196, 604?
We can find the highest common divisor of 398, 218, 196, 604 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, 218, 196, 604 i.e 2.
3. How can I use the GCD of 398, 218, 196, 604Calculator?
Out the numbers 398, 218, 196, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.