Online GCD Calculator is useful to find the GCD of 792, 549, 240, 112 quickly. Get the easiest ways to solve the greatest common divisor of 792, 549, 240, 112 i.e 1 in different methods as follows.
Given Input numbers are 792, 549, 240, 112
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 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (792, 549, 240, 112) = 1.
Given numbers are 792, 549, 240, 112
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 549 are 3 x 3 x 61
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 792, 549, 240, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 549) = 48312
GCD(792, 549) = ( 792 x 549 ) / 48312
= 792 / 549
= 792
Step2:
LCM(9, 240) = 720
GCD(9, 240) = ( 9 x 240 ) / 720
= 9 / 240
= 9
Step3:
LCM(3, 112) = 336
GCD(3, 112) = ( 3 x 112 ) / 336
= 3 / 112
= 3
So, Greatest Common Divisor of 792, 549, 240, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 549, 240, 112
The greatest common divisor of numbers 792, 549, 240, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 549, 240, 112 is 1.
1. What is the GCD of 792, 549, 240, 112?
GCD of given numbers 792, 549, 240, 112 is 1
2. How to calculate the greatest common divisor of 792, 549, 240, 112?
We can find the highest common divisor of 792, 549, 240, 112 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, 549, 240, 112 i.e 1.
3. How can I use the GCD of 792, 549, 240, 112Calculator?
Out the numbers 792, 549, 240, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.