Online GCD Calculator is useful to find the GCD of 133, 360, 988, 216 quickly. Get the easiest ways to solve the greatest common divisor of 133, 360, 988, 216 i.e 1 in different methods as follows.
Given Input numbers are 133, 360, 988, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
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 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (133, 360, 988, 216) = 1.
Given numbers are 133, 360, 988, 216
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 360, 988, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 360) = 47880
GCD(133, 360) = ( 133 x 360 ) / 47880
= 133 / 360
= 133
Step2:
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
= 1 / 988
= 1
Step3:
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
= 1 / 216
= 1
So, Greatest Common Divisor of 133, 360, 988, 216 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 360, 988, 216
The greatest common divisor of numbers 133, 360, 988, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 360, 988, 216 is 1.
1. What is the GCD of 133, 360, 988, 216?
GCD of given numbers 133, 360, 988, 216 is 1
2. How to calculate the greatest common divisor of 133, 360, 988, 216?
We can find the highest common divisor of 133, 360, 988, 216 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 133, 360, 988, 216 i.e 1.
3. How can I use the GCD of 133, 360, 988, 216Calculator?
Out the numbers 133, 360, 988, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.