Online GCD Calculator is useful to find the GCD of 198, 674, 221, 318 quickly. Get the easiest ways to solve the greatest common divisor of 198, 674, 221, 318 i.e 1 in different methods as follows.
Given Input numbers are 198, 674, 221, 318
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 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
GCD of numbers is the greatest common divisor
So, the GCD (198, 674, 221, 318) = 1.
Given numbers are 198, 674, 221, 318
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 674 are 2 x 337
Prime factors of 221 are 13 x 17
Prime factors of 318 are 2 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 674, 221, 318
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 674) = 66726
GCD(198, 674) = ( 198 x 674 ) / 66726
= 198 / 674
= 198
Step2:
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
= 2 / 221
= 2
Step3:
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
= 1 / 318
= 1
So, Greatest Common Divisor of 198, 674, 221, 318 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 674, 221, 318
The greatest common divisor of numbers 198, 674, 221, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 674, 221, 318 is 1.
1. What is the GCD of 198, 674, 221, 318?
GCD of given numbers 198, 674, 221, 318 is 1
2. How to calculate the greatest common divisor of 198, 674, 221, 318?
We can find the highest common divisor of 198, 674, 221, 318 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, 674, 221, 318 i.e 1.
3. How can I use the GCD of 198, 674, 221, 318Calculator?
Out the numbers 198, 674, 221, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.