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GCD of 213, 183, 657 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, 183, 657 quickly. Get the easiest ways to solve the greatest common divisor of 213, 183, 657 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 213, 183, 657 with Factoring?

Given Input numbers are 213, 183, 657

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 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657


GCD of numbers is the greatest common divisor

So, the GCD (213, 183, 657) = 3.

Find GCD of 213, 183, 657 using Prime Factorization

Given numbers are 213, 183, 657

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 183 are 3 x 61

Prime factors of 657 are 3 x 3 x 73

The highest common occurrence is 31

Therefore, GCD of 213, 183, 657 is 3.

Steps to Calculate GCD of 213, 183, 657 using LCM Formula

Given numbers are 213, 183, 657

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(213, 183) = 12993

GCD(213, 183) = ( 213 x 183 ) / 12993

= 213 / 183

= 213


Step2:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3


So, Greatest Common Divisor of 213, 183, 657 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 213, 183, 657

Given numbers are 213, 183, 657
The greatest common divisor of numbers 213, 183, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 183, 657 is 3.

FAQs on GCD of 213, 183, 657 Calculator

1. What is the GCD of 213, 183, 657?

GCD of given numbers 213, 183, 657 is 3


2. How to calculate the greatest common divisor of 213, 183, 657?

We can find the highest common divisor of 213, 183, 657 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, 183, 657 i.e 3.


3. How can I use the GCD of 213, 183, 657Calculator?

Out the numbers 213, 183, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.