GCD of 114, 369, 910 Calculator

Given Input numbers are 114, 369, 910

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 114, 369, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 369, 910 is 1.

Therefore, GCD of numbers 114, 369, 910 is 1

Given Input Data is 114, 369, 910

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 369 is 3 x 3 x 41

Prime Factorization of 910 is 2 x 5 x 7 x 13

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, 369) = 14022

GCD(114, 369) = ( 114 x 369 ) / 14022

GCD(114, 369) = 42066 / 14022

GCD(114, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 910

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

LCM(3, 910) = 2730

GCD(3, 910) = ( 3 x 910 ) / 2730

GCD(3, 910) = 2730 / 2730

GCD(3, 910) = 1

GCD of 114, 369, 910 is 1

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1. What is the GCD of 114, 369, 910?

GCD of 114, 369, 910 is 1

2. Where do I get the detailed procedure to find GCD of 114, 369, 910?

You can find a detailed procedure to find GCD of 114, 369, 910 on our page.

3. How to find GCD of 114, 369, 910 on a calculator?

You can find the GCD of 114, 369, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.