GCD of 340, 855, 15, 290 Calculator

Given Input numbers are 340, 855, 15, 290

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 340, 855, 15, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 855, 15, 290 is 5.

Therefore, GCD of numbers 340, 855, 15, 290 is 5

Given Input Data is 340, 855, 15, 290

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 855 is 3 x 3 x 5 x 19

Prime Factorization of 15 is 3 x 5

Prime Factorization of 290 is 2 x 5 x 29

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, 855) = 58140

GCD(340, 855) = ( 340 x 855 ) / 58140

GCD(340, 855) = 290700 / 58140

GCD(340, 855) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 15

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

LCM(5, 15) = 15

GCD(5, 15) = ( 5 x 15 ) / 15

GCD(5, 15) = 75 / 15

GCD(5, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 290

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

LCM(5, 290) = 290

GCD(5, 290) = ( 5 x 290 ) / 290

GCD(5, 290) = 1450 / 290

GCD(5, 290) = 5

GCD of 340, 855, 15, 290 is 5

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• GCD of 523, 568, 22, 418
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1. What is the GCD of 340, 855, 15, 290?

GCD of 340, 855, 15, 290 is 5

2. Where do I get the detailed procedure to find GCD of 340, 855, 15, 290?

You can find a detailed procedure to find GCD of 340, 855, 15, 290 on our page.

3. How to find GCD of 340, 855, 15, 290 on a calculator?

You can find the GCD of 340, 855, 15, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.