Online GCD Calculator is useful to find the GCD of 198, 874, 397, 352 quickly. Get the easiest ways to solve the greatest common divisor of 198, 874, 397, 352 i.e 1 in different methods as follows.
Given Input numbers are 198, 874, 397, 352
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 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
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
GCD of numbers is the greatest common divisor
So, the GCD (198, 874, 397, 352) = 1.
Given numbers are 198, 874, 397, 352
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 874 are 2 x 19 x 23
Prime factors of 397 are 397
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 874, 397, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 874) = 86526
GCD(198, 874) = ( 198 x 874 ) / 86526
= 198 / 874
= 198
Step2:
LCM(2, 397) = 794
GCD(2, 397) = ( 2 x 397 ) / 794
= 2 / 397
= 2
Step3:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
So, Greatest Common Divisor of 198, 874, 397, 352 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 874, 397, 352
The greatest common divisor of numbers 198, 874, 397, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 874, 397, 352 is 1.
1. What is the GCD of 198, 874, 397, 352?
GCD of given numbers 198, 874, 397, 352 is 1
2. How to calculate the greatest common divisor of 198, 874, 397, 352?
We can find the highest common divisor of 198, 874, 397, 352 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, 874, 397, 352 i.e 1.
3. How can I use the GCD of 198, 874, 397, 352Calculator?
Out the numbers 198, 874, 397, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.