GCD of 771, 685, 30, 309 Calculator

Given Input numbers are 771, 685, 30, 309

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 685

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

1, 5, 137, 685

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 771, 685, 30, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 685, 30, 309 is 1.

Therefore, GCD of numbers 771, 685, 30, 309 is 1

Given Input Data is 771, 685, 30, 309

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 685 is 5 x 137

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 309 is 3 x 103

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(771, 685) = 528135

GCD(771, 685) = ( 771 x 685 ) / 528135

GCD(771, 685) = 528135 / 528135

GCD(771, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 771, 685, 30, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 643, 27, 543
• GCD of 162, 438, 99, 225
• GCD of 131, 919, 53, 779
• GCD of 558, 331, 24, 470
• GCD of 390, 960, 91, 860

1. What is the GCD of 771, 685, 30, 309?

GCD of 771, 685, 30, 309 is 1

2. Where do I get the detailed procedure to find GCD of 771, 685, 30, 309?

You can find a detailed procedure to find GCD of 771, 685, 30, 309 on our page.

3. How to find GCD of 771, 685, 30, 309 on a calculator?

You can find the GCD of 771, 685, 30, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.