GCD of 400, 117, 22, 200 Calculator

Given Input numbers are 400, 117, 22, 200

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Greatest Common Divisior

We found the divisors of 400, 117, 22, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 117, 22, 200 is 1.

Therefore, GCD of numbers 400, 117, 22, 200 is 1

Given Input Data is 400, 117, 22, 200

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 117 is 3 x 3 x 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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, 117) = 46800

GCD(400, 117) = ( 400 x 117 ) / 46800

GCD(400, 117) = 46800 / 46800

GCD(400, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 400, 117, 22, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 373, 76, 555
• GCD of 424, 596, 72, 791
• GCD of 755, 987, 57, 179
• GCD of 904, 733, 96, 166
• GCD of 315, 220, 43, 233

1. What is the GCD of 400, 117, 22, 200?

GCD of 400, 117, 22, 200 is 1

2. Where do I get the detailed procedure to find GCD of 400, 117, 22, 200?

You can find a detailed procedure to find GCD of 400, 117, 22, 200 on our page.

3. How to find GCD of 400, 117, 22, 200 on a calculator?

You can find the GCD of 400, 117, 22, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.