Online GCD Calculator is useful to find the GCD of 792, 492, 132, 231 quickly. Get the easiest ways to solve the greatest common divisor of 792, 492, 132, 231 i.e 3 in different methods as follows.
Given Input numbers are 792, 492, 132, 231
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 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (792, 492, 132, 231) = 3.
Given numbers are 792, 492, 132, 231
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 492 are 2 x 2 x 3 x 41
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 231 are 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 792, 492, 132, 231 is 3.
Given numbers are 792, 492, 132, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 492) = 32472
GCD(792, 492) = ( 792 x 492 ) / 32472
= 792 / 492
= 792
Step2:
LCM(12, 132) = 132
GCD(12, 132) = ( 12 x 132 ) / 132
= 12 / 132
= 12
Step3:
LCM(12, 231) = 924
GCD(12, 231) = ( 12 x 231 ) / 924
= 12 / 231
= 12
So, Greatest Common Divisor of 792, 492, 132, 231 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 492, 132, 231
The greatest common divisor of numbers 792, 492, 132, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 492, 132, 231 is 3.
1. What is the GCD of 792, 492, 132, 231?
GCD of given numbers 792, 492, 132, 231 is 3
2. How to calculate the greatest common divisor of 792, 492, 132, 231?
We can find the highest common divisor of 792, 492, 132, 231 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, 492, 132, 231 i.e 3.
3. How can I use the GCD of 792, 492, 132, 231Calculator?
Out the numbers 792, 492, 132, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.