GCD of 340, 580, 295, 845 Calculator

Given Input numbers are 340, 580, 295, 845

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 340, 580, 295, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 580, 295, 845 is 5.

Therefore, GCD of numbers 340, 580, 295, 845 is 5

Given Input Data is 340, 580, 295, 845

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 295 is 5 x 59

Prime Factorization of 845 is 5 x 13 x 13

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(340, 580) = 9860

GCD(340, 580) = ( 340 x 580 ) / 9860

GCD(340, 580) = 197200 / 9860

GCD(340, 580) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 295

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

LCM(20, 295) = 1180

GCD(20, 295) = ( 20 x 295 ) / 1180

GCD(20, 295) = 5900 / 1180

GCD(20, 295) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 845

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

LCM(5, 845) = 845

GCD(5, 845) = ( 5 x 845 ) / 845

GCD(5, 845) = 4225 / 845

GCD(5, 845) = 5

GCD of 340, 580, 295, 845 is 5

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1. What is the GCD of 340, 580, 295, 845?

GCD of 340, 580, 295, 845 is 5

2. Where do I get the detailed procedure to find GCD of 340, 580, 295, 845?

You can find a detailed procedure to find GCD of 340, 580, 295, 845 on our page.

3. How to find GCD of 340, 580, 295, 845 on a calculator?

You can find the GCD of 340, 580, 295, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.