Online GCD Calculator is useful to find the GCD of 198, 432, 952, 636 quickly. Get the easiest ways to solve the greatest common divisor of 198, 432, 952, 636 i.e 2 in different methods as follows.
Given Input numbers are 198, 432, 952, 636
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
GCD of numbers is the greatest common divisor
So, the GCD (198, 432, 952, 636) = 2.
Given numbers are 198, 432, 952, 636
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 636 are 2 x 2 x 3 x 53
The highest common occurrence is 21
Therefore, GCD of 198, 432, 952, 636 is 2.
Given numbers are 198, 432, 952, 636
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 432) = 4752
GCD(198, 432) = ( 198 x 432 ) / 4752
= 198 / 432
= 198
Step2:
LCM(18, 952) = 8568
GCD(18, 952) = ( 18 x 952 ) / 8568
= 18 / 952
= 18
Step3:
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
= 2 / 636
= 2
So, Greatest Common Divisor of 198, 432, 952, 636 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 432, 952, 636
The greatest common divisor of numbers 198, 432, 952, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 432, 952, 636 is 2.
1. What is the GCD of 198, 432, 952, 636?
GCD of given numbers 198, 432, 952, 636 is 2
2. How to calculate the greatest common divisor of 198, 432, 952, 636?
We can find the highest common divisor of 198, 432, 952, 636 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, 432, 952, 636 i.e 2.
3. How can I use the GCD of 198, 432, 952, 636Calculator?
Out the numbers 198, 432, 952, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.