GCD of 273, 827, 465, 213 Calculator

Given Input numbers are 273, 827, 465, 213

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

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 273, 827, 465, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 827, 465, 213 is 1.

Therefore, GCD of numbers 273, 827, 465, 213 is 1

Given Input Data is 273, 827, 465, 213

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 827 is 827

Prime Factorization of 465 is 3 x 5 x 31

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(273, 827) = 225771

GCD(273, 827) = ( 273 x 827 ) / 225771

GCD(273, 827) = 225771 / 225771

GCD(273, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

Step3:

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 273, 827, 465, 213 is 1

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1. What is the GCD of 273, 827, 465, 213?

GCD of 273, 827, 465, 213 is 1

2. Where do I get the detailed procedure to find GCD of 273, 827, 465, 213?

You can find a detailed procedure to find GCD of 273, 827, 465, 213 on our page.

3. How to find GCD of 273, 827, 465, 213 on a calculator?

You can find the GCD of 273, 827, 465, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.