LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 213, 133, 90 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 213, 133, 90 with Factoring?

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.

Find GCD of 213, 133, 90 using Prime Factorization

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

Steps to Calculate GCD of 213, 133, 90 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 213, 133, 90

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.

FAQs on GCD of 213, 133, 90 Calculator

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.