GCD of 175, 406, 473, 210 Calculator

Given Input numbers are 175, 406, 473, 210

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 473

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

1, 11, 43, 473

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 175, 406, 473, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 406, 473, 210 is 1.

Therefore, GCD of numbers 175, 406, 473, 210 is 1

Given Input Data is 175, 406, 473, 210

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 473 is 11 x 43

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(175, 406) = 10150

GCD(175, 406) = ( 175 x 406 ) / 10150

GCD(175, 406) = 71050 / 10150

GCD(175, 406) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 473

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

LCM(7, 473) = 3311

GCD(7, 473) = ( 7 x 473 ) / 3311

GCD(7, 473) = 3311 / 3311

GCD(7, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 175, 406, 473, 210 is 1

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1. What is the GCD of 175, 406, 473, 210?

GCD of 175, 406, 473, 210 is 1

2. Where do I get the detailed procedure to find GCD of 175, 406, 473, 210?

You can find a detailed procedure to find GCD of 175, 406, 473, 210 on our page.

3. How to find GCD of 175, 406, 473, 210 on a calculator?

You can find the GCD of 175, 406, 473, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.