Online GCD Calculator is useful to find the GCD of 198, 352, 249, 288 quickly. Get the easiest ways to solve the greatest common divisor of 198, 352, 249, 288 i.e 1 in different methods as follows.
Given Input numbers are 198, 352, 249, 288
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 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (198, 352, 249, 288) = 1.
Given numbers are 198, 352, 249, 288
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 249 are 3 x 83
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 352, 249, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 352) = 3168
GCD(198, 352) = ( 198 x 352 ) / 3168
= 198 / 352
= 198
Step2:
LCM(22, 249) = 5478
GCD(22, 249) = ( 22 x 249 ) / 5478
= 22 / 249
= 22
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 198, 352, 249, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 352, 249, 288
The greatest common divisor of numbers 198, 352, 249, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 352, 249, 288 is 1.
1. What is the GCD of 198, 352, 249, 288?
GCD of given numbers 198, 352, 249, 288 is 1
2. How to calculate the greatest common divisor of 198, 352, 249, 288?
We can find the highest common divisor of 198, 352, 249, 288 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, 352, 249, 288 i.e 1.
3. How can I use the GCD of 198, 352, 249, 288Calculator?
Out the numbers 198, 352, 249, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.