GCD of 614, 812, 357, 609 Calculator

Given Input numbers are 614, 812, 357, 609

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 614, 812, 357, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 812, 357, 609 is 1.

Therefore, GCD of numbers 614, 812, 357, 609 is 1

Given Input Data is 614, 812, 357, 609

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 609 is 3 x 7 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(614, 812) = 249284

GCD(614, 812) = ( 614 x 812 ) / 249284

GCD(614, 812) = 498568 / 249284

GCD(614, 812) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 614, 812, 357, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 299, 531, 712
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• GCD of 391, 221, 340, 891

1. What is the GCD of 614, 812, 357, 609?

GCD of 614, 812, 357, 609 is 1

2. Where do I get the detailed procedure to find GCD of 614, 812, 357, 609?

You can find a detailed procedure to find GCD of 614, 812, 357, 609 on our page.

3. How to find GCD of 614, 812, 357, 609 on a calculator?

You can find the GCD of 614, 812, 357, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.