GCD of 10, 523, 471, 273 Calculator

Given Input numbers are 10, 523, 471, 273

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

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 10, 523, 471, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 523, 471, 273 is 1.

Therefore, GCD of numbers 10, 523, 471, 273 is 1

Given Input Data is 10, 523, 471, 273

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 523 is 523

Prime Factorization of 471 is 3 x 157

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(10, 523) = 5230

GCD(10, 523) = ( 10 x 523 ) / 5230

GCD(10, 523) = 5230 / 5230

GCD(10, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 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 10, 523, 471, 273 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 639, 975, 574
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• GCD of 43, 221, 981, 684
• GCD of 25, 680, 786, 458

1. What is the GCD of 10, 523, 471, 273?

GCD of 10, 523, 471, 273 is 1

2. Where do I get the detailed procedure to find GCD of 10, 523, 471, 273?

You can find a detailed procedure to find GCD of 10, 523, 471, 273 on our page.

3. How to find GCD of 10, 523, 471, 273 on a calculator?

You can find the GCD of 10, 523, 471, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.