GCD of 273, 840, 423, 185 Calculator

Given Input numbers are 273, 840, 423, 185

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 273, 840, 423, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 840, 423, 185 is 1.

Therefore, GCD of numbers 273, 840, 423, 185 is 1

Given Input Data is 273, 840, 423, 185

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 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 185 is 5 x 37

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, 840) = 10920

GCD(273, 840) = ( 273 x 840 ) / 10920

GCD(273, 840) = 229320 / 10920

GCD(273, 840) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 423

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

LCM(21, 423) = 2961

GCD(21, 423) = ( 21 x 423 ) / 2961

GCD(21, 423) = 8883 / 2961

GCD(21, 423) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 185

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

LCM(3, 185) = 555

GCD(3, 185) = ( 3 x 185 ) / 555

GCD(3, 185) = 555 / 555

GCD(3, 185) = 1

GCD of 273, 840, 423, 185 is 1

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1. What is the GCD of 273, 840, 423, 185?

GCD of 273, 840, 423, 185 is 1

2. Where do I get the detailed procedure to find GCD of 273, 840, 423, 185?

You can find a detailed procedure to find GCD of 273, 840, 423, 185 on our page.

3. How to find GCD of 273, 840, 423, 185 on a calculator?

You can find the GCD of 273, 840, 423, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.