Online GCD Calculator is useful to find the GCD of 792, 198, 633 quickly. Get the easiest ways to solve the greatest common divisor of 792, 198, 633 i.e 3 in different methods as follows.
Given Input numbers are 792, 198, 633
In the factoring method, we have to find the divisors of all numbers
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
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 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
GCD of numbers is the greatest common divisor
So, the GCD (792, 198, 633) = 3.
Given numbers are 792, 198, 633
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 633 are 3 x 211
The highest common occurrence is 31
Therefore, GCD of 792, 198, 633 is 3.
Given numbers are 792, 198, 633
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 198) = 792
GCD(792, 198) = ( 792 x 198 ) / 792
= 792 / 198
= 792
Step2:
LCM(198, 633) = 41778
GCD(198, 633) = ( 198 x 633 ) / 41778
= 198 / 633
= 198
So, Greatest Common Divisor of 792, 198, 633 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 198, 633
The greatest common divisor of numbers 792, 198, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 198, 633 is 3.
1. What is the GCD of 792, 198, 633?
GCD of given numbers 792, 198, 633 is 3
2. How to calculate the greatest common divisor of 792, 198, 633?
We can find the highest common divisor of 792, 198, 633 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 792, 198, 633 i.e 3.
3. How can I use the GCD of 792, 198, 633Calculator?
Out the numbers 792, 198, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.