Online GCD Calculator is useful to find the GCD of 198, 784, 329, 374 quickly. Get the easiest ways to solve the greatest common divisor of 198, 784, 329, 374 i.e 1 in different methods as follows.
Given Input numbers are 198, 784, 329, 374
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 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
GCD of numbers is the greatest common divisor
So, the GCD (198, 784, 329, 374) = 1.
Given numbers are 198, 784, 329, 374
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 329 are 7 x 47
Prime factors of 374 are 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 784, 329, 374
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 784) = 77616
GCD(198, 784) = ( 198 x 784 ) / 77616
= 198 / 784
= 198
Step2:
LCM(2, 329) = 658
GCD(2, 329) = ( 2 x 329 ) / 658
= 2 / 329
= 2
Step3:
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
= 1 / 374
= 1
So, Greatest Common Divisor of 198, 784, 329, 374 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 784, 329, 374
The greatest common divisor of numbers 198, 784, 329, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 784, 329, 374 is 1.
1. What is the GCD of 198, 784, 329, 374?
GCD of given numbers 198, 784, 329, 374 is 1
2. How to calculate the greatest common divisor of 198, 784, 329, 374?
We can find the highest common divisor of 198, 784, 329, 374 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, 784, 329, 374 i.e 1.
3. How can I use the GCD of 198, 784, 329, 374Calculator?
Out the numbers 198, 784, 329, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.