Online GCD Calculator is useful to find the GCD of 198, 348, 533, 756 quickly. Get the easiest ways to solve the greatest common divisor of 198, 348, 533, 756 i.e 1 in different methods as follows.
Given Input numbers are 198, 348, 533, 756
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 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
GCD of numbers is the greatest common divisor
So, the GCD (198, 348, 533, 756) = 1.
Given numbers are 198, 348, 533, 756
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 533 are 13 x 41
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 348, 533, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 348) = 11484
GCD(198, 348) = ( 198 x 348 ) / 11484
= 198 / 348
= 198
Step2:
LCM(6, 533) = 3198
GCD(6, 533) = ( 6 x 533 ) / 3198
= 6 / 533
= 6
Step3:
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
= 1 / 756
= 1
So, Greatest Common Divisor of 198, 348, 533, 756 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 348, 533, 756
The greatest common divisor of numbers 198, 348, 533, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 348, 533, 756 is 1.
1. What is the GCD of 198, 348, 533, 756?
GCD of given numbers 198, 348, 533, 756 is 1
2. How to calculate the greatest common divisor of 198, 348, 533, 756?
We can find the highest common divisor of 198, 348, 533, 756 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, 348, 533, 756 i.e 1.
3. How can I use the GCD of 198, 348, 533, 756Calculator?
Out the numbers 198, 348, 533, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.