GCD of 209, 630, 371, 795 Calculator

Given Input numbers are 209, 630, 371, 795

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 209, 630, 371, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 630, 371, 795 is 1.

Therefore, GCD of numbers 209, 630, 371, 795 is 1

Given Input Data is 209, 630, 371, 795

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 371 is 7 x 53

Prime Factorization of 795 is 3 x 5 x 53

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(209, 630) = 131670

GCD(209, 630) = ( 209 x 630 ) / 131670

GCD(209, 630) = 131670 / 131670

GCD(209, 630) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 209, 630, 371, 795 is 1

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1. What is the GCD of 209, 630, 371, 795?

GCD of 209, 630, 371, 795 is 1

2. Where do I get the detailed procedure to find GCD of 209, 630, 371, 795?

You can find a detailed procedure to find GCD of 209, 630, 371, 795 on our page.

3. How to find GCD of 209, 630, 371, 795 on a calculator?

You can find the GCD of 209, 630, 371, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.