Online GCD Calculator is useful to find the GCD of 198, 908, 421, 734 quickly. Get the easiest ways to solve the greatest common divisor of 198, 908, 421, 734 i.e 1 in different methods as follows.
Given Input numbers are 198, 908, 421, 734
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 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
GCD of numbers is the greatest common divisor
So, the GCD (198, 908, 421, 734) = 1.
Given numbers are 198, 908, 421, 734
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 908 are 2 x 2 x 227
Prime factors of 421 are 421
Prime factors of 734 are 2 x 367
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 908, 421, 734
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 908) = 89892
GCD(198, 908) = ( 198 x 908 ) / 89892
= 198 / 908
= 198
Step2:
LCM(2, 421) = 842
GCD(2, 421) = ( 2 x 421 ) / 842
= 2 / 421
= 2
Step3:
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
= 1 / 734
= 1
So, Greatest Common Divisor of 198, 908, 421, 734 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 908, 421, 734
The greatest common divisor of numbers 198, 908, 421, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 908, 421, 734 is 1.
1. What is the GCD of 198, 908, 421, 734?
GCD of given numbers 198, 908, 421, 734 is 1
2. How to calculate the greatest common divisor of 198, 908, 421, 734?
We can find the highest common divisor of 198, 908, 421, 734 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, 908, 421, 734 i.e 1.
3. How can I use the GCD of 198, 908, 421, 734Calculator?
Out the numbers 198, 908, 421, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.