Online GCD Calculator is useful to find the GCD of 198, 358, 898, 614 quickly. Get the easiest ways to solve the greatest common divisor of 198, 358, 898, 614 i.e 2 in different methods as follows.
Given Input numbers are 198, 358, 898, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (198, 358, 898, 614) = 2.
Given numbers are 198, 358, 898, 614
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 358 are 2 x 179
Prime factors of 898 are 2 x 449
Prime factors of 614 are 2 x 307
The highest common occurrence is 21
Therefore, GCD of 198, 358, 898, 614 is 2.
Given numbers are 198, 358, 898, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 358) = 35442
GCD(198, 358) = ( 198 x 358 ) / 35442
= 198 / 358
= 198
Step2:
LCM(2, 898) = 898
GCD(2, 898) = ( 2 x 898 ) / 898
= 2 / 898
= 2
Step3:
LCM(2, 614) = 614
GCD(2, 614) = ( 2 x 614 ) / 614
= 2 / 614
= 2
So, Greatest Common Divisor of 198, 358, 898, 614 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 358, 898, 614
The greatest common divisor of numbers 198, 358, 898, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 358, 898, 614 is 2.
1. What is the GCD of 198, 358, 898, 614?
GCD of given numbers 198, 358, 898, 614 is 2
2. How to calculate the greatest common divisor of 198, 358, 898, 614?
We can find the highest common divisor of 198, 358, 898, 614 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 198, 358, 898, 614 i.e 2.
3. How can I use the GCD of 198, 358, 898, 614Calculator?
Out the numbers 198, 358, 898, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.