Online GCD Calculator is useful to find the GCD of 792, 135, 63, 279 quickly. Get the easiest ways to solve the greatest common divisor of 792, 135, 63, 279 i.e 9 in different methods as follows.
Given Input numbers are 792, 135, 63, 279
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 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 63 :
The positive integer divisors of 63 that completely divides 63 are.
1, 3, 7, 9, 21, 63
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
GCD of numbers is the greatest common divisor
So, the GCD (792, 135, 63, 279) = 9.
Given numbers are 792, 135, 63, 279
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 135 are 3 x 3 x 3 x 5
Prime factors of 63 are 3 x 3 x 7
Prime factors of 279 are 3 x 3 x 31
The highest common occurrence is 32
Therefore, GCD of 792, 135, 63, 279 is 9.
Given numbers are 792, 135, 63, 279
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 135) = 11880
GCD(792, 135) = ( 792 x 135 ) / 11880
= 792 / 135
= 792
Step2:
LCM(9, 63) = 63
GCD(9, 63) = ( 9 x 63 ) / 63
= 9 / 63
= 9
Step3:
LCM(9, 279) = 279
GCD(9, 279) = ( 9 x 279 ) / 279
= 9 / 279
= 9
So, Greatest Common Divisor of 792, 135, 63, 279 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 135, 63, 279
The greatest common divisor of numbers 792, 135, 63, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 135, 63, 279 is 9.
1. What is the GCD of 792, 135, 63, 279?
GCD of given numbers 792, 135, 63, 279 is 9
2. How to calculate the greatest common divisor of 792, 135, 63, 279?
We can find the highest common divisor of 792, 135, 63, 279 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, 135, 63, 279 i.e 9.
3. How can I use the GCD of 792, 135, 63, 279Calculator?
Out the numbers 792, 135, 63, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.