GCD of 400, 912, 101, 115 Calculator

Given Input numbers are 400, 912, 101, 115

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 400, 912, 101, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 912, 101, 115 is 1.

Therefore, GCD of numbers 400, 912, 101, 115 is 1

Given Input Data is 400, 912, 101, 115

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 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 101 is 101

Prime Factorization of 115 is 5 x 23

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, 912) = 22800

GCD(400, 912) = ( 400 x 912 ) / 22800

GCD(400, 912) = 364800 / 22800

GCD(400, 912) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 101

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

LCM(16, 101) = 1616

GCD(16, 101) = ( 16 x 101 ) / 1616

GCD(16, 101) = 1616 / 1616

GCD(16, 101) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 400, 912, 101, 115 is 1

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1. What is the GCD of 400, 912, 101, 115?

GCD of 400, 912, 101, 115 is 1

2. Where do I get the detailed procedure to find GCD of 400, 912, 101, 115?

You can find a detailed procedure to find GCD of 400, 912, 101, 115 on our page.

3. How to find GCD of 400, 912, 101, 115 on a calculator?

You can find the GCD of 400, 912, 101, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.