GCD of 852, 467, 576, 345 Calculator

Given Input numbers are 852, 467, 576, 345

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 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 345

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

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

Greatest Common Divisior

We found the divisors of 852, 467, 576, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 467, 576, 345 is 1.

Therefore, GCD of numbers 852, 467, 576, 345 is 1

Given Input Data is 852, 467, 576, 345

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 467 is 467

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 345 is 3 x 5 x 23

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, 467) = 397884

GCD(852, 467) = ( 852 x 467 ) / 397884

GCD(852, 467) = 397884 / 397884

GCD(852, 467) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 852, 467, 576, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 275, 279, 252
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1. What is the GCD of 852, 467, 576, 345?

GCD of 852, 467, 576, 345 is 1

2. Where do I get the detailed procedure to find GCD of 852, 467, 576, 345?

You can find a detailed procedure to find GCD of 852, 467, 576, 345 on our page.

3. How to find GCD of 852, 467, 576, 345 on a calculator?

You can find the GCD of 852, 467, 576, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.