GCD of 270, 434, 345 Calculator

Given Input numbers are 270, 434, 345

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 270, 434, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 434, 345 is 1.

Therefore, GCD of numbers 270, 434, 345 is 1

Given Input Data is 270, 434, 345

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 345 is 3 x 5 x 23

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(270, 434) = 58590

GCD(270, 434) = ( 270 x 434 ) / 58590

GCD(270, 434) = 117180 / 58590

GCD(270, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 270, 434, 345 is 1

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1. What is the GCD of 270, 434, 345?

GCD of 270, 434, 345 is 1

2. Where do I get the detailed procedure to find GCD of 270, 434, 345?

You can find a detailed procedure to find GCD of 270, 434, 345 on our page.

3. How to find GCD of 270, 434, 345 on a calculator?

You can find the GCD of 270, 434, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.