GCD of 400, 798, 601 Calculator

Given Input numbers are 400, 798, 601

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 400, 798, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 798, 601 is 1.

Therefore, GCD of numbers 400, 798, 601 is 1

Given Input Data is 400, 798, 601

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 601 is 601

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(400, 798) = 159600

GCD(400, 798) = ( 400 x 798 ) / 159600

GCD(400, 798) = 319200 / 159600

GCD(400, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 601

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

LCM(2, 601) = 1202

GCD(2, 601) = ( 2 x 601 ) / 1202

GCD(2, 601) = 1202 / 1202

GCD(2, 601) = 1

GCD of 400, 798, 601 is 1

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1. What is the GCD of 400, 798, 601?

GCD of 400, 798, 601 is 1

2. Where do I get the detailed procedure to find GCD of 400, 798, 601?

You can find a detailed procedure to find GCD of 400, 798, 601 on our page.

3. How to find GCD of 400, 798, 601 on a calculator?

You can find the GCD of 400, 798, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.