GCD of 402, 672, 20, 800 Calculator

Given Input numbers are 402, 672, 20, 800

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 402, 672, 20, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 672, 20, 800 is 2.

Therefore, GCD of numbers 402, 672, 20, 800 is 2

Given Input Data is 402, 672, 20, 800

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 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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, 672) = 45024

GCD(402, 672) = ( 402 x 672 ) / 45024

GCD(402, 672) = 270144 / 45024

GCD(402, 672) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 20

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

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

GCD(6, 20) = 120 / 60

GCD(6, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

GCD of 402, 672, 20, 800 is 2

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1. What is the GCD of 402, 672, 20, 800?

GCD of 402, 672, 20, 800 is 2

2. Where do I get the detailed procedure to find GCD of 402, 672, 20, 800?

You can find a detailed procedure to find GCD of 402, 672, 20, 800 on our page.

3. How to find GCD of 402, 672, 20, 800 on a calculator?

You can find the GCD of 402, 672, 20, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.