GCD of 348, 615, 905 Calculator

Given Input numbers are 348, 615, 905

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 348, 615, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 615, 905 is 1.

Therefore, GCD of numbers 348, 615, 905 is 1

Given Input Data is 348, 615, 905

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 905 is 5 x 181

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(348, 615) = 71340

GCD(348, 615) = ( 348 x 615 ) / 71340

GCD(348, 615) = 214020 / 71340

GCD(348, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 905

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

LCM(3, 905) = 2715

GCD(3, 905) = ( 3 x 905 ) / 2715

GCD(3, 905) = 2715 / 2715

GCD(3, 905) = 1

GCD of 348, 615, 905 is 1

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1. What is the GCD of 348, 615, 905?

GCD of 348, 615, 905 is 1

2. Where do I get the detailed procedure to find GCD of 348, 615, 905?

You can find a detailed procedure to find GCD of 348, 615, 905 on our page.

3. How to find GCD of 348, 615, 905 on a calculator?

You can find the GCD of 348, 615, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.