GCD of 814, 522, 213, 754 Calculator

Given Input numbers are 814, 522, 213, 754

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 814, 522, 213, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 522, 213, 754 is 1.

Therefore, GCD of numbers 814, 522, 213, 754 is 1

Given Input Data is 814, 522, 213, 754

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 213 is 3 x 71

Prime Factorization of 754 is 2 x 13 x 29

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(814, 522) = 212454

GCD(814, 522) = ( 814 x 522 ) / 212454

GCD(814, 522) = 424908 / 212454

GCD(814, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 814, 522, 213, 754 is 1

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• GCD of 335, 930, 280, 321
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1. What is the GCD of 814, 522, 213, 754?

GCD of 814, 522, 213, 754 is 1

2. Where do I get the detailed procedure to find GCD of 814, 522, 213, 754?

You can find a detailed procedure to find GCD of 814, 522, 213, 754 on our page.

3. How to find GCD of 814, 522, 213, 754 on a calculator?

You can find the GCD of 814, 522, 213, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.