GCD of 473, 735, 21, 181 Calculator

Given Input numbers are 473, 735, 21, 181

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 473, 735, 21, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 735, 21, 181 is 1.

Therefore, GCD of numbers 473, 735, 21, 181 is 1

Given Input Data is 473, 735, 21, 181

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 181 is 181

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(473, 735) = 347655

GCD(473, 735) = ( 473 x 735 ) / 347655

GCD(473, 735) = 347655 / 347655

GCD(473, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

GCD of 473, 735, 21, 181 is 1

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• GCD of 360, 902, 34, 640
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1. What is the GCD of 473, 735, 21, 181?

GCD of 473, 735, 21, 181 is 1

2. Where do I get the detailed procedure to find GCD of 473, 735, 21, 181?

You can find a detailed procedure to find GCD of 473, 735, 21, 181 on our page.

3. How to find GCD of 473, 735, 21, 181 on a calculator?

You can find the GCD of 473, 735, 21, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.