Online GCD Calculator is useful to find the GCD of 133, 994, 589, 217 quickly. Get the easiest ways to solve the greatest common divisor of 133, 994, 589, 217 i.e 1 in different methods as follows.
Given Input numbers are 133, 994, 589, 217
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 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (133, 994, 589, 217) = 1.
Given numbers are 133, 994, 589, 217
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 994 are 2 x 7 x 71
Prime factors of 589 are 19 x 31
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 994, 589, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 994) = 18886
GCD(133, 994) = ( 133 x 994 ) / 18886
= 133 / 994
= 133
Step2:
LCM(7, 589) = 4123
GCD(7, 589) = ( 7 x 589 ) / 4123
= 7 / 589
= 7
Step3:
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
= 1 / 217
= 1
So, Greatest Common Divisor of 133, 994, 589, 217 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 994, 589, 217
The greatest common divisor of numbers 133, 994, 589, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 994, 589, 217 is 1.
1. What is the GCD of 133, 994, 589, 217?
GCD of given numbers 133, 994, 589, 217 is 1
2. How to calculate the greatest common divisor of 133, 994, 589, 217?
We can find the highest common divisor of 133, 994, 589, 217 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, 994, 589, 217 i.e 1.
3. How can I use the GCD of 133, 994, 589, 217Calculator?
Out the numbers 133, 994, 589, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.