GCD of 617, 448, 723, 273 Calculator

Given Input numbers are 617, 448, 723, 273

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 273

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

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

Greatest Common Divisior

We found the divisors of 617, 448, 723, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 448, 723, 273 is 1.

Therefore, GCD of numbers 617, 448, 723, 273 is 1

Given Input Data is 617, 448, 723, 273

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

Prime Factorization of 617 is 617

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 723 is 3 x 241

Prime Factorization of 273 is 3 x 7 x 13

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(617, 448) = 276416

GCD(617, 448) = ( 617 x 448 ) / 276416

GCD(617, 448) = 276416 / 276416

GCD(617, 448) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 617, 448, 723, 273 is 1

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1. What is the GCD of 617, 448, 723, 273?

GCD of 617, 448, 723, 273 is 1

2. Where do I get the detailed procedure to find GCD of 617, 448, 723, 273?

You can find a detailed procedure to find GCD of 617, 448, 723, 273 on our page.

3. How to find GCD of 617, 448, 723, 273 on a calculator?

You can find the GCD of 617, 448, 723, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.