GCD of 336, 402, 443, 864 Calculator

Given Input numbers are 336, 402, 443, 864

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 402

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

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

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 336, 402, 443, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 402, 443, 864 is 1.

Therefore, GCD of numbers 336, 402, 443, 864 is 1

Given Input Data is 336, 402, 443, 864

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 443 is 443

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(336, 402) = 22512

GCD(336, 402) = ( 336 x 402 ) / 22512

GCD(336, 402) = 135072 / 22512

GCD(336, 402) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 443

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

LCM(6, 443) = 2658

GCD(6, 443) = ( 6 x 443 ) / 2658

GCD(6, 443) = 2658 / 2658

GCD(6, 443) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 336, 402, 443, 864 is 1

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1. What is the GCD of 336, 402, 443, 864?

GCD of 336, 402, 443, 864 is 1

2. Where do I get the detailed procedure to find GCD of 336, 402, 443, 864?

You can find a detailed procedure to find GCD of 336, 402, 443, 864 on our page.

3. How to find GCD of 336, 402, 443, 864 on a calculator?

You can find the GCD of 336, 402, 443, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.