Online GCD Calculator is useful to find the GCD of 198, 732, 770, 471 quickly. Get the easiest ways to solve the greatest common divisor of 198, 732, 770, 471 i.e 1 in different methods as follows.
Given Input numbers are 198, 732, 770, 471
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 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
GCD of numbers is the greatest common divisor
So, the GCD (198, 732, 770, 471) = 1.
Given numbers are 198, 732, 770, 471
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 471 are 3 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 732, 770, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 732) = 24156
GCD(198, 732) = ( 198 x 732 ) / 24156
= 198 / 732
= 198
Step2:
LCM(6, 770) = 2310
GCD(6, 770) = ( 6 x 770 ) / 2310
= 6 / 770
= 6
Step3:
LCM(2, 471) = 942
GCD(2, 471) = ( 2 x 471 ) / 942
= 2 / 471
= 2
So, Greatest Common Divisor of 198, 732, 770, 471 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 732, 770, 471
The greatest common divisor of numbers 198, 732, 770, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 732, 770, 471 is 1.
1. What is the GCD of 198, 732, 770, 471?
GCD of given numbers 198, 732, 770, 471 is 1
2. How to calculate the greatest common divisor of 198, 732, 770, 471?
We can find the highest common divisor of 198, 732, 770, 471 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, 732, 770, 471 i.e 1.
3. How can I use the GCD of 198, 732, 770, 471Calculator?
Out the numbers 198, 732, 770, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.