GCD of 114, 400, 267 Calculator

Given Input numbers are 114, 400, 267

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 114, 400, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 400, 267 is 1.

Therefore, GCD of numbers 114, 400, 267 is 1

Given Input Data is 114, 400, 267

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

Prime Factorization of 114 is 2 x 3 x 19

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

Prime Factorization of 267 is 3 x 89

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(114, 400) = 22800

GCD(114, 400) = ( 114 x 400 ) / 22800

GCD(114, 400) = 45600 / 22800

GCD(114, 400) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 1

GCD of 114, 400, 267 is 1

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1. What is the GCD of 114, 400, 267?

GCD of 114, 400, 267 is 1

2. Where do I get the detailed procedure to find GCD of 114, 400, 267?

You can find a detailed procedure to find GCD of 114, 400, 267 on our page.

3. How to find GCD of 114, 400, 267 on a calculator?

You can find the GCD of 114, 400, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.