GCD of 210, 297, 47, 838 Calculator

Given Input numbers are 210, 297, 47, 838

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 210, 297, 47, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 297, 47, 838 is 1.

Therefore, GCD of numbers 210, 297, 47, 838 is 1

Given Input Data is 210, 297, 47, 838

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 297 is 3 x 3 x 3 x 11

Prime Factorization of 47 is 47

Prime Factorization of 838 is 2 x 419

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, 297) = 20790

GCD(210, 297) = ( 210 x 297 ) / 20790

GCD(210, 297) = 62370 / 20790

GCD(210, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 210, 297, 47, 838 is 1

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• GCD of 265, 383, 87, 400
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1. What is the GCD of 210, 297, 47, 838?

GCD of 210, 297, 47, 838 is 1

2. Where do I get the detailed procedure to find GCD of 210, 297, 47, 838?

You can find a detailed procedure to find GCD of 210, 297, 47, 838 on our page.

3. How to find GCD of 210, 297, 47, 838 on a calculator?

You can find the GCD of 210, 297, 47, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.