Online GCD Calculator is useful to find the GCD of 198, 473, 355, 552 quickly. Get the easiest ways to solve the greatest common divisor of 198, 473, 355, 552 i.e 1 in different methods as follows.
Given Input numbers are 198, 473, 355, 552
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 473 :
The positive integer divisors of 473 that completely divides 473 are.
1, 11, 43, 473
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
GCD of numbers is the greatest common divisor
So, the GCD (198, 473, 355, 552) = 1.
Given numbers are 198, 473, 355, 552
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 473 are 11 x 43
Prime factors of 355 are 5 x 71
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 473, 355, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 473) = 8514
GCD(198, 473) = ( 198 x 473 ) / 8514
= 198 / 473
= 198
Step2:
LCM(11, 355) = 3905
GCD(11, 355) = ( 11 x 355 ) / 3905
= 11 / 355
= 11
Step3:
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
= 1 / 552
= 1
So, Greatest Common Divisor of 198, 473, 355, 552 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 473, 355, 552
The greatest common divisor of numbers 198, 473, 355, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 473, 355, 552 is 1.
1. What is the GCD of 198, 473, 355, 552?
GCD of given numbers 198, 473, 355, 552 is 1
2. How to calculate the greatest common divisor of 198, 473, 355, 552?
We can find the highest common divisor of 198, 473, 355, 552 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, 473, 355, 552 i.e 1.
3. How can I use the GCD of 198, 473, 355, 552Calculator?
Out the numbers 198, 473, 355, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.