GCD of 306, 334, 678, 583 Calculator

Given Input numbers are 306, 334, 678, 583

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 306, 334, 678, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 334, 678, 583 is 1.

Therefore, GCD of numbers 306, 334, 678, 583 is 1

Given Input Data is 306, 334, 678, 583

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 334 is 2 x 167

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 583 is 11 x 53

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(306, 334) = 51102

GCD(306, 334) = ( 306 x 334 ) / 51102

GCD(306, 334) = 102204 / 51102

GCD(306, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 583

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

LCM(2, 583) = 1166

GCD(2, 583) = ( 2 x 583 ) / 1166

GCD(2, 583) = 1166 / 1166

GCD(2, 583) = 1

GCD of 306, 334, 678, 583 is 1

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1. What is the GCD of 306, 334, 678, 583?

GCD of 306, 334, 678, 583 is 1

2. Where do I get the detailed procedure to find GCD of 306, 334, 678, 583?

You can find a detailed procedure to find GCD of 306, 334, 678, 583 on our page.

3. How to find GCD of 306, 334, 678, 583 on a calculator?

You can find the GCD of 306, 334, 678, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.