Online GCD Calculator is useful to find the GCD of 213, 133, 90 quickly. Get the easiest ways to solve the greatest common divisor of 213, 133, 90 i.e 1 in different methods as follows.
Given Input numbers are 213, 133, 90
In the factoring method, we have to find the divisors of all numbers
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCD of numbers is the greatest common divisor
So, the GCD (213, 133, 90) = 1.
Given numbers are 213, 133, 90
The list of prime factors of all numbers are
Prime factors of 213 are 3 x 71
Prime factors of 133 are 7 x 19
Prime factors of 90 are 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 213, 133, 90
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(213, 133) = 28329
GCD(213, 133) = ( 213 x 133 ) / 28329
= 213 / 133
= 213
Step2:
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
= 1 / 90
= 1
So, Greatest Common Divisor of 213, 133, 90 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 213, 133, 90
The greatest common divisor of numbers 213, 133, 90 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 133, 90 is 1.
1. What is the GCD of 213, 133, 90?
GCD of given numbers 213, 133, 90 is 1
2. How to calculate the greatest common divisor of 213, 133, 90?
We can find the highest common divisor of 213, 133, 90 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 213, 133, 90 i.e 1.
3. How can I use the GCD of 213, 133, 90Calculator?
Out the numbers 213, 133, 90 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.