GCD of 545, 284, 213 Calculator

Given Input numbers are 545, 284, 213

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 545, 284, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 284, 213 is 1.

Therefore, GCD of numbers 545, 284, 213 is 1

Given Input Data is 545, 284, 213

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 545 is 5 x 109

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 213 is 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(545, 284) = 154780

GCD(545, 284) = ( 545 x 284 ) / 154780

GCD(545, 284) = 154780 / 154780

GCD(545, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 545, 284, 213 is 1

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1. What is the GCD of 545, 284, 213?

GCD of 545, 284, 213 is 1

2. Where do I get the detailed procedure to find GCD of 545, 284, 213?

You can find a detailed procedure to find GCD of 545, 284, 213 on our page.

3. How to find GCD of 545, 284, 213 on a calculator?

You can find the GCD of 545, 284, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.