GCD of 273, 346, 116, 914 Calculator

Given Input numbers are 273, 346, 116, 914

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 273, 346, 116, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 346, 116, 914 is 1.

Therefore, GCD of numbers 273, 346, 116, 914 is 1

Given Input Data is 273, 346, 116, 914

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 346 is 2 x 173

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 914 is 2 x 457

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(273, 346) = 94458

GCD(273, 346) = ( 273 x 346 ) / 94458

GCD(273, 346) = 94458 / 94458

GCD(273, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 273, 346, 116, 914 is 1

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1. What is the GCD of 273, 346, 116, 914?

GCD of 273, 346, 116, 914 is 1

2. Where do I get the detailed procedure to find GCD of 273, 346, 116, 914?

You can find a detailed procedure to find GCD of 273, 346, 116, 914 on our page.

3. How to find GCD of 273, 346, 116, 914 on a calculator?

You can find the GCD of 273, 346, 116, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.