GCD of 400, 976, 13, 475 Calculator

Given Input numbers are 400, 976, 13, 475

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 400, 976, 13, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 976, 13, 475 is 1.

Therefore, GCD of numbers 400, 976, 13, 475 is 1

Given Input Data is 400, 976, 13, 475

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 13 is 13

Prime Factorization of 475 is 5 x 5 x 19

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, 976) = 24400

GCD(400, 976) = ( 400 x 976 ) / 24400

GCD(400, 976) = 390400 / 24400

GCD(400, 976) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 13

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

LCM(16, 13) = 208

GCD(16, 13) = ( 16 x 13 ) / 208

GCD(16, 13) = 208 / 208

GCD(16, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 400, 976, 13, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 324, 66, 692
• GCD of 646, 319, 46, 688
• GCD of 660, 748, 67, 902
• GCD of 846, 642, 22, 811
• GCD of 220, 869, 35, 749

1. What is the GCD of 400, 976, 13, 475?

GCD of 400, 976, 13, 475 is 1

2. Where do I get the detailed procedure to find GCD of 400, 976, 13, 475?

You can find a detailed procedure to find GCD of 400, 976, 13, 475 on our page.

3. How to find GCD of 400, 976, 13, 475 on a calculator?

You can find the GCD of 400, 976, 13, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.