GCD of 309, 886, 685, 678 Calculator

Given Input numbers are 309, 886, 685, 678

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 309, 886, 685, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 886, 685, 678 is 1.

Therefore, GCD of numbers 309, 886, 685, 678 is 1

Given Input Data is 309, 886, 685, 678

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 886 is 2 x 443

Prime Factorization of 685 is 5 x 137

Prime Factorization of 678 is 2 x 3 x 113

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(309, 886) = 273774

GCD(309, 886) = ( 309 x 886 ) / 273774

GCD(309, 886) = 273774 / 273774

GCD(309, 886) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 309, 886, 685, 678 is 1

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1. What is the GCD of 309, 886, 685, 678?

GCD of 309, 886, 685, 678 is 1

2. Where do I get the detailed procedure to find GCD of 309, 886, 685, 678?

You can find a detailed procedure to find GCD of 309, 886, 685, 678 on our page.

3. How to find GCD of 309, 886, 685, 678 on a calculator?

You can find the GCD of 309, 886, 685, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.