GCD of 217, 838, 462, 693 Calculator

Given Input numbers are 217, 838, 462, 693

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 838

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

1, 2, 419, 838

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 217, 838, 462, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 838, 462, 693 is 1.

Therefore, GCD of numbers 217, 838, 462, 693 is 1

Given Input Data is 217, 838, 462, 693

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 838 is 2 x 419

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(217, 838) = 181846

GCD(217, 838) = ( 217 x 838 ) / 181846

GCD(217, 838) = 181846 / 181846

GCD(217, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 217, 838, 462, 693 is 1

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1. What is the GCD of 217, 838, 462, 693?

GCD of 217, 838, 462, 693 is 1

2. Where do I get the detailed procedure to find GCD of 217, 838, 462, 693?

You can find a detailed procedure to find GCD of 217, 838, 462, 693 on our page.

3. How to find GCD of 217, 838, 462, 693 on a calculator?

You can find the GCD of 217, 838, 462, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.