GCD of 210, 703, 475, 221 Calculator

Given Input numbers are 210, 703, 475, 221

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

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 210, 703, 475, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 703, 475, 221 is 1.

Therefore, GCD of numbers 210, 703, 475, 221 is 1

Given Input Data is 210, 703, 475, 221

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

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 221 is 13 x 17

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(210, 703) = 147630

GCD(210, 703) = ( 210 x 703 ) / 147630

GCD(210, 703) = 147630 / 147630

GCD(210, 703) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 210, 703, 475, 221 is 1

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1. What is the GCD of 210, 703, 475, 221?

GCD of 210, 703, 475, 221 is 1

2. Where do I get the detailed procedure to find GCD of 210, 703, 475, 221?

You can find a detailed procedure to find GCD of 210, 703, 475, 221 on our page.

3. How to find GCD of 210, 703, 475, 221 on a calculator?

You can find the GCD of 210, 703, 475, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.