GCD of 340, 661, 589, 434 Calculator

Given Input numbers are 340, 661, 589, 434

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 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 434

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

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

Greatest Common Divisior

We found the divisors of 340, 661, 589, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 661, 589, 434 is 1.

Therefore, GCD of numbers 340, 661, 589, 434 is 1

Given Input Data is 340, 661, 589, 434

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 661 is 661

Prime Factorization of 589 is 19 x 31

Prime Factorization of 434 is 2 x 7 x 31

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, 661) = 224740

GCD(340, 661) = ( 340 x 661 ) / 224740

GCD(340, 661) = 224740 / 224740

GCD(340, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 340, 661, 589, 434 is 1

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1. What is the GCD of 340, 661, 589, 434?

GCD of 340, 661, 589, 434 is 1

2. Where do I get the detailed procedure to find GCD of 340, 661, 589, 434?

You can find a detailed procedure to find GCD of 340, 661, 589, 434 on our page.

3. How to find GCD of 340, 661, 589, 434 on a calculator?

You can find the GCD of 340, 661, 589, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.