GCD of 340, 431, 645 Calculator

Given Input numbers are 340, 431, 645

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 340, 431, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 431, 645 is 1.

Therefore, GCD of numbers 340, 431, 645 is 1

Given Input Data is 340, 431, 645

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 431 is 431

Prime Factorization of 645 is 3 x 5 x 43

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(340, 431) = 146540

GCD(340, 431) = ( 340 x 431 ) / 146540

GCD(340, 431) = 146540 / 146540

GCD(340, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 340, 431, 645 is 1

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1. What is the GCD of 340, 431, 645?

GCD of 340, 431, 645 is 1

2. Where do I get the detailed procedure to find GCD of 340, 431, 645?

You can find a detailed procedure to find GCD of 340, 431, 645 on our page.

3. How to find GCD of 340, 431, 645 on a calculator?

You can find the GCD of 340, 431, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.