GCD of 830, 123, 594, 713 Calculator

Given Input numbers are 830, 123, 594, 713

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 830, 123, 594, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 123, 594, 713 is 1.

Therefore, GCD of numbers 830, 123, 594, 713 is 1

Given Input Data is 830, 123, 594, 713

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 123 is 3 x 41

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 713 is 23 x 31

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(830, 123) = 102090

GCD(830, 123) = ( 830 x 123 ) / 102090

GCD(830, 123) = 102090 / 102090

GCD(830, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 594

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

LCM(1, 594) = 594

GCD(1, 594) = ( 1 x 594 ) / 594

GCD(1, 594) = 594 / 594

GCD(1, 594) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 830, 123, 594, 713 is 1

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1. What is the GCD of 830, 123, 594, 713?

GCD of 830, 123, 594, 713 is 1

2. Where do I get the detailed procedure to find GCD of 830, 123, 594, 713?

You can find a detailed procedure to find GCD of 830, 123, 594, 713 on our page.

3. How to find GCD of 830, 123, 594, 713 on a calculator?

You can find the GCD of 830, 123, 594, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.