GCD of 623, 842, 734, 321 Calculator

Given Input numbers are 623, 842, 734, 321

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

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 623, 842, 734, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 623, 842, 734, 321 is 1.

Therefore, GCD of numbers 623, 842, 734, 321 is 1

Given Input Data is 623, 842, 734, 321

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

Prime Factorization of 623 is 7 x 89

Prime Factorization of 842 is 2 x 421

Prime Factorization of 734 is 2 x 367

Prime Factorization of 321 is 3 x 107

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(623, 842) = 524566

GCD(623, 842) = ( 623 x 842 ) / 524566

GCD(623, 842) = 524566 / 524566

GCD(623, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 623, 842, 734, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 303, 900, 132
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• GCD of 455, 460, 313, 959
• GCD of 724, 534, 274, 425

1. What is the GCD of 623, 842, 734, 321?

GCD of 623, 842, 734, 321 is 1

2. Where do I get the detailed procedure to find GCD of 623, 842, 734, 321?

You can find a detailed procedure to find GCD of 623, 842, 734, 321 on our page.

3. How to find GCD of 623, 842, 734, 321 on a calculator?

You can find the GCD of 623, 842, 734, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.