GCD of 309, 460, 34, 940 Calculator

Given Input numbers are 309, 460, 34, 940

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 309, 460, 34, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 460, 34, 940 is 1.

Therefore, GCD of numbers 309, 460, 34, 940 is 1

Given Input Data is 309, 460, 34, 940

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 34 is 2 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(309, 460) = 142140

GCD(309, 460) = ( 309 x 460 ) / 142140

GCD(309, 460) = 142140 / 142140

GCD(309, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 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 309, 460, 34, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 171, 84, 240
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• GCD of 342, 308, 36, 480

1. What is the GCD of 309, 460, 34, 940?

GCD of 309, 460, 34, 940 is 1

2. Where do I get the detailed procedure to find GCD of 309, 460, 34, 940?

You can find a detailed procedure to find GCD of 309, 460, 34, 940 on our page.

3. How to find GCD of 309, 460, 34, 940 on a calculator?

You can find the GCD of 309, 460, 34, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.