GCD of 345, 715, 71, 823 Calculator

Given Input numbers are 345, 715, 71, 823

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 345, 715, 71, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 715, 71, 823 is 1.

Therefore, GCD of numbers 345, 715, 71, 823 is 1

Given Input Data is 345, 715, 71, 823

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 71 is 71

Prime Factorization of 823 is 823

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(345, 715) = 49335

GCD(345, 715) = ( 345 x 715 ) / 49335

GCD(345, 715) = 246675 / 49335

GCD(345, 715) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 71

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

LCM(5, 71) = 355

GCD(5, 71) = ( 5 x 71 ) / 355

GCD(5, 71) = 355 / 355

GCD(5, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 345, 715, 71, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 345, 58, 816
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1. What is the GCD of 345, 715, 71, 823?

GCD of 345, 715, 71, 823 is 1

2. Where do I get the detailed procedure to find GCD of 345, 715, 71, 823?

You can find a detailed procedure to find GCD of 345, 715, 71, 823 on our page.

3. How to find GCD of 345, 715, 71, 823 on a calculator?

You can find the GCD of 345, 715, 71, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.