GCD of 472, 459, 690, 838 Calculator

Given Input numbers are 472, 459, 690, 838

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 472, 459, 690, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 459, 690, 838 is 1.

Therefore, GCD of numbers 472, 459, 690, 838 is 1

Given Input Data is 472, 459, 690, 838

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(472, 459) = 216648

GCD(472, 459) = ( 472 x 459 ) / 216648

GCD(472, 459) = 216648 / 216648

GCD(472, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 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 472, 459, 690, 838 is 1

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1. What is the GCD of 472, 459, 690, 838?

GCD of 472, 459, 690, 838 is 1

2. Where do I get the detailed procedure to find GCD of 472, 459, 690, 838?

You can find a detailed procedure to find GCD of 472, 459, 690, 838 on our page.

3. How to find GCD of 472, 459, 690, 838 on a calculator?

You can find the GCD of 472, 459, 690, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.