GCD of 367, 400, 269 Calculator

Given Input numbers are 367, 400, 269

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

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 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 367, 400, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 400, 269 is 1.

Therefore, GCD of numbers 367, 400, 269 is 1

Given Input Data is 367, 400, 269

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

Prime Factorization of 367 is 367

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

Prime Factorization of 269 is 269

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(367, 400) = 146800

GCD(367, 400) = ( 367 x 400 ) / 146800

GCD(367, 400) = 146800 / 146800

GCD(367, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 367, 400, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 740, 141
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• GCD of 288, 657, 527
• GCD of 905, 863, 811
• GCD of 222, 549, 428

1. What is the GCD of 367, 400, 269?

GCD of 367, 400, 269 is 1

2. Where do I get the detailed procedure to find GCD of 367, 400, 269?

You can find a detailed procedure to find GCD of 367, 400, 269 on our page.

3. How to find GCD of 367, 400, 269 on a calculator?

You can find the GCD of 367, 400, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.