GCD of 274, 289, 940 Calculator

Given Input numbers are 274, 289, 940

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 274, 289, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 289, 940 is 1.

Therefore, GCD of numbers 274, 289, 940 is 1

Given Input Data is 274, 289, 940

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 289 is 17 x 17

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(274, 289) = 79186

GCD(274, 289) = ( 274 x 289 ) / 79186

GCD(274, 289) = 79186 / 79186

GCD(274, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 274, 289, 940 is 1

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1. What is the GCD of 274, 289, 940?

GCD of 274, 289, 940 is 1

2. Where do I get the detailed procedure to find GCD of 274, 289, 940?

You can find a detailed procedure to find GCD of 274, 289, 940 on our page.

3. How to find GCD of 274, 289, 940 on a calculator?

You can find the GCD of 274, 289, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.