GCD of 852, 399, 692, 286 Calculator

Given Input numbers are 852, 399, 692, 286

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 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 852, 399, 692, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 399, 692, 286 is 1.

Therefore, GCD of numbers 852, 399, 692, 286 is 1

Given Input Data is 852, 399, 692, 286

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 399 is 3 x 7 x 19

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 286 is 2 x 11 x 13

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, 399) = 113316

GCD(852, 399) = ( 852 x 399 ) / 113316

GCD(852, 399) = 339948 / 113316

GCD(852, 399) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 692

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

LCM(3, 692) = 2076

GCD(3, 692) = ( 3 x 692 ) / 2076

GCD(3, 692) = 2076 / 2076

GCD(3, 692) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 852, 399, 692, 286 is 1

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1. What is the GCD of 852, 399, 692, 286?

GCD of 852, 399, 692, 286 is 1

2. Where do I get the detailed procedure to find GCD of 852, 399, 692, 286?

You can find a detailed procedure to find GCD of 852, 399, 692, 286 on our page.

3. How to find GCD of 852, 399, 692, 286 on a calculator?

You can find the GCD of 852, 399, 692, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.