GCD of 852, 715, 29, 306 Calculator

Given Input numbers are 852, 715, 29, 306

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 852, 715, 29, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 715, 29, 306 is 1.

Therefore, GCD of numbers 852, 715, 29, 306 is 1

Given Input Data is 852, 715, 29, 306

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 29 is 29

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(852, 715) = 609180

GCD(852, 715) = ( 852 x 715 ) / 609180

GCD(852, 715) = 609180 / 609180

GCD(852, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 852, 715, 29, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 957, 23, 638
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1. What is the GCD of 852, 715, 29, 306?

GCD of 852, 715, 29, 306 is 1

2. Where do I get the detailed procedure to find GCD of 852, 715, 29, 306?

You can find a detailed procedure to find GCD of 852, 715, 29, 306 on our page.

3. How to find GCD of 852, 715, 29, 306 on a calculator?

You can find the GCD of 852, 715, 29, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.