Online GCD Calculator is useful to find the GCD of 159, 336, 198, 474 quickly. Get the easiest ways to solve the greatest common divisor of 159, 336, 198, 474 i.e 3 in different methods as follows.
Given Input numbers are 159, 336, 198, 474
In the factoring method, we have to find the divisors of all numbers
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
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 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
GCD of numbers is the greatest common divisor
So, the GCD (159, 336, 198, 474) = 3.
Given numbers are 159, 336, 198, 474
The list of prime factors of all numbers are
Prime factors of 159 are 3 x 53
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 474 are 2 x 3 x 79
The highest common occurrence is 31
Therefore, GCD of 159, 336, 198, 474 is 3.
Given numbers are 159, 336, 198, 474
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(159, 336) = 17808
GCD(159, 336) = ( 159 x 336 ) / 17808
= 159 / 336
= 159
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
Step3:
LCM(3, 474) = 474
GCD(3, 474) = ( 3 x 474 ) / 474
= 3 / 474
= 3
So, Greatest Common Divisor of 159, 336, 198, 474 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 159, 336, 198, 474
The greatest common divisor of numbers 159, 336, 198, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 336, 198, 474 is 3.
1. What is the GCD of 159, 336, 198, 474?
GCD of given numbers 159, 336, 198, 474 is 3
2. How to calculate the greatest common divisor of 159, 336, 198, 474?
We can find the highest common divisor of 159, 336, 198, 474 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 159, 336, 198, 474 i.e 3.
3. How can I use the GCD of 159, 336, 198, 474Calculator?
Out the numbers 159, 336, 198, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.