Online GCD Calculator is useful to find the GCD of 792, 360, 873, 342 quickly. Get the easiest ways to solve the greatest common divisor of 792, 360, 873, 342 i.e 9 in different methods as follows.
Given Input numbers are 792, 360, 873, 342
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (792, 360, 873, 342) = 9.
Given numbers are 792, 360, 873, 342
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 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 873 are 3 x 3 x 97
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 32
Therefore, GCD of 792, 360, 873, 342 is 9.
Given numbers are 792, 360, 873, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 360) = 3960
GCD(792, 360) = ( 792 x 360 ) / 3960
= 792 / 360
= 792
Step2:
LCM(72, 873) = 6984
GCD(72, 873) = ( 72 x 873 ) / 6984
= 72 / 873
= 72
Step3:
LCM(9, 342) = 342
GCD(9, 342) = ( 9 x 342 ) / 342
= 9 / 342
= 9
So, Greatest Common Divisor of 792, 360, 873, 342 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 360, 873, 342
The greatest common divisor of numbers 792, 360, 873, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 360, 873, 342 is 9.
1. What is the GCD of 792, 360, 873, 342?
GCD of given numbers 792, 360, 873, 342 is 9
2. How to calculate the greatest common divisor of 792, 360, 873, 342?
We can find the highest common divisor of 792, 360, 873, 342 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, 360, 873, 342 i.e 9.
3. How can I use the GCD of 792, 360, 873, 342Calculator?
Out the numbers 792, 360, 873, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.