GCD of 324, 871, 36, 402 Calculator

Given Input numbers are 324, 871, 36, 402

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 324, 871, 36, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 871, 36, 402 is 1.

Therefore, GCD of numbers 324, 871, 36, 402 is 1

Given Input Data is 324, 871, 36, 402

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 871 is 13 x 67

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 402 is 2 x 3 x 67

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(324, 871) = 282204

GCD(324, 871) = ( 324 x 871 ) / 282204

GCD(324, 871) = 282204 / 282204

GCD(324, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 324, 871, 36, 402 is 1

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1. What is the GCD of 324, 871, 36, 402?

GCD of 324, 871, 36, 402 is 1

2. Where do I get the detailed procedure to find GCD of 324, 871, 36, 402?

You can find a detailed procedure to find GCD of 324, 871, 36, 402 on our page.

3. How to find GCD of 324, 871, 36, 402 on a calculator?

You can find the GCD of 324, 871, 36, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.