GCD of 289, 386, 45, 940 Calculator

Given Input numbers are 289, 386, 45, 940

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

Divisors of 289

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

1, 17, 289

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 289, 386, 45, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 386, 45, 940 is 1.

Therefore, GCD of numbers 289, 386, 45, 940 is 1

Given Input Data is 289, 386, 45, 940

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 386 is 2 x 193

Prime Factorization of 45 is 3 x 3 x 5

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(289, 386) = 111554

GCD(289, 386) = ( 289 x 386 ) / 111554

GCD(289, 386) = 111554 / 111554

GCD(289, 386) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

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 289, 386, 45, 940 is 1

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1. What is the GCD of 289, 386, 45, 940?

GCD of 289, 386, 45, 940 is 1

2. Where do I get the detailed procedure to find GCD of 289, 386, 45, 940?

You can find a detailed procedure to find GCD of 289, 386, 45, 940 on our page.

3. How to find GCD of 289, 386, 45, 940 on a calculator?

You can find the GCD of 289, 386, 45, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.