GCD of 400, 895, 476 Calculator

Given Input numbers are 400, 895, 476

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 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 400, 895, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 895, 476 is 1.

Therefore, GCD of numbers 400, 895, 476 is 1

Given Input Data is 400, 895, 476

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 895 is 5 x 179

Prime Factorization of 476 is 2 x 2 x 7 x 17

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, 895) = 71600

GCD(400, 895) = ( 400 x 895 ) / 71600

GCD(400, 895) = 358000 / 71600

GCD(400, 895) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 476

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

LCM(5, 476) = 2380

GCD(5, 476) = ( 5 x 476 ) / 2380

GCD(5, 476) = 2380 / 2380

GCD(5, 476) = 1

GCD of 400, 895, 476 is 1

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1. What is the GCD of 400, 895, 476?

GCD of 400, 895, 476 is 1

2. Where do I get the detailed procedure to find GCD of 400, 895, 476?

You can find a detailed procedure to find GCD of 400, 895, 476 on our page.

3. How to find GCD of 400, 895, 476 on a calculator?

You can find the GCD of 400, 895, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.