Online GCD Calculator is useful to find the GCD of 540, 981, 663, 112 quickly. Get the easiest ways to solve the greatest common divisor of 540, 981, 663, 112 i.e 1 in different methods as follows.
Given Input numbers are 540, 981, 663, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
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 (540, 981, 663, 112) = 1.
Given numbers are 540, 981, 663, 112
The list of prime factors of all numbers are
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 981 are 3 x 3 x 109
Prime factors of 663 are 3 x 13 x 17
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 540, 981, 663, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 981) = 58860
GCD(540, 981) = ( 540 x 981 ) / 58860
= 540 / 981
= 540
Step2:
LCM(9, 663) = 1989
GCD(9, 663) = ( 9 x 663 ) / 1989
= 9 / 663
= 9
Step3:
LCM(3, 112) = 336
GCD(3, 112) = ( 3 x 112 ) / 336
= 3 / 112
= 3
So, Greatest Common Divisor of 540, 981, 663, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 981, 663, 112
The greatest common divisor of numbers 540, 981, 663, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 981, 663, 112 is 1.
1. What is the GCD of 540, 981, 663, 112?
GCD of given numbers 540, 981, 663, 112 is 1
2. How to calculate the greatest common divisor of 540, 981, 663, 112?
We can find the highest common divisor of 540, 981, 663, 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 540, 981, 663, 112 i.e 1.
3. How can I use the GCD of 540, 981, 663, 112Calculator?
Out the numbers 540, 981, 663, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.