GCD of 273, 468, 77, 853 Calculator

Given Input numbers are 273, 468, 77, 853

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 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 273, 468, 77, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 468, 77, 853 is 1.

Therefore, GCD of numbers 273, 468, 77, 853 is 1

Given Input Data is 273, 468, 77, 853

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 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 77 is 7 x 11

Prime Factorization of 853 is 853

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, 468) = 3276

GCD(273, 468) = ( 273 x 468 ) / 3276

GCD(273, 468) = 127764 / 3276

GCD(273, 468) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 77

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

LCM(39, 77) = 3003

GCD(39, 77) = ( 39 x 77 ) / 3003

GCD(39, 77) = 3003 / 3003

GCD(39, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 273, 468, 77, 853 is 1

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1. What is the GCD of 273, 468, 77, 853?

GCD of 273, 468, 77, 853 is 1

2. Where do I get the detailed procedure to find GCD of 273, 468, 77, 853?

You can find a detailed procedure to find GCD of 273, 468, 77, 853 on our page.

3. How to find GCD of 273, 468, 77, 853 on a calculator?

You can find the GCD of 273, 468, 77, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.