GCD of 459, 212, 53, 838 Calculator

Given Input numbers are 459, 212, 53, 838

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

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 459, 212, 53, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 212, 53, 838 is 1.

Therefore, GCD of numbers 459, 212, 53, 838 is 1

Given Input Data is 459, 212, 53, 838

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

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 53 is 53

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(459, 212) = 97308

GCD(459, 212) = ( 459 x 212 ) / 97308

GCD(459, 212) = 97308 / 97308

GCD(459, 212) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 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 459, 212, 53, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 606, 96, 420
• GCD of 548, 973, 58, 315
• GCD of 615, 877, 32, 544
• GCD of 596, 740, 15, 158
• GCD of 154, 830, 26, 754

1. What is the GCD of 459, 212, 53, 838?

GCD of 459, 212, 53, 838 is 1

2. Where do I get the detailed procedure to find GCD of 459, 212, 53, 838?

You can find a detailed procedure to find GCD of 459, 212, 53, 838 on our page.

3. How to find GCD of 459, 212, 53, 838 on a calculator?

You can find the GCD of 459, 212, 53, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.