GCD of 402, 204, 712, 496 Calculator

Given Input numbers are 402, 204, 712, 496

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

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 402, 204, 712, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 204, 712, 496 is 2.

Therefore, GCD of numbers 402, 204, 712, 496 is 2

Given Input Data is 402, 204, 712, 496

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(402, 204) = 13668

GCD(402, 204) = ( 402 x 204 ) / 13668

GCD(402, 204) = 82008 / 13668

GCD(402, 204) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 712

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

LCM(6, 712) = 2136

GCD(6, 712) = ( 6 x 712 ) / 2136

GCD(6, 712) = 4272 / 2136

GCD(6, 712) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 402, 204, 712, 496 is 2

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1. What is the GCD of 402, 204, 712, 496?

GCD of 402, 204, 712, 496 is 2

2. Where do I get the detailed procedure to find GCD of 402, 204, 712, 496?

You can find a detailed procedure to find GCD of 402, 204, 712, 496 on our page.

3. How to find GCD of 402, 204, 712, 496 on a calculator?

You can find the GCD of 402, 204, 712, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.