Online GCD Calculator is useful to find the GCD of 737, 301, 189, 198 quickly. Get the easiest ways to solve the greatest common divisor of 737, 301, 189, 198 i.e 1 in different methods as follows.
Given Input numbers are 737, 301, 189, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 301 :
The positive integer divisors of 301 that completely divides 301 are.
1, 7, 43, 301
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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
GCD of numbers is the greatest common divisor
So, the GCD (737, 301, 189, 198) = 1.
Given numbers are 737, 301, 189, 198
The list of prime factors of all numbers are
Prime factors of 737 are 11 x 67
Prime factors of 301 are 7 x 43
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 737, 301, 189, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(737, 301) = 221837
GCD(737, 301) = ( 737 x 301 ) / 221837
= 737 / 301
= 737
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 737, 301, 189, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 737, 301, 189, 198
The greatest common divisor of numbers 737, 301, 189, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 301, 189, 198 is 1.
1. What is the GCD of 737, 301, 189, 198?
GCD of given numbers 737, 301, 189, 198 is 1
2. How to calculate the greatest common divisor of 737, 301, 189, 198?
We can find the highest common divisor of 737, 301, 189, 198 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 737, 301, 189, 198 i.e 1.
3. How can I use the GCD of 737, 301, 189, 198Calculator?
Out the numbers 737, 301, 189, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.