GCD of 309, 978, 613, 709 Calculator

Given Input numbers are 309, 978, 613, 709

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 309, 978, 613, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 978, 613, 709 is 1.

Therefore, GCD of numbers 309, 978, 613, 709 is 1

Given Input Data is 309, 978, 613, 709

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 613 is 613

Prime Factorization of 709 is 709

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, 978) = 100734

GCD(309, 978) = ( 309 x 978 ) / 100734

GCD(309, 978) = 302202 / 100734

GCD(309, 978) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 613

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

LCM(3, 613) = 1839

GCD(3, 613) = ( 3 x 613 ) / 1839

GCD(3, 613) = 1839 / 1839

GCD(3, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 309, 978, 613, 709 is 1

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1. What is the GCD of 309, 978, 613, 709?

GCD of 309, 978, 613, 709 is 1

2. Where do I get the detailed procedure to find GCD of 309, 978, 613, 709?

You can find a detailed procedure to find GCD of 309, 978, 613, 709 on our page.

3. How to find GCD of 309, 978, 613, 709 on a calculator?

You can find the GCD of 309, 978, 613, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.