GCD of 309, 657, 696, 770 Calculator

Given Input numbers are 309, 657, 696, 770

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 309, 657, 696, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 657, 696, 770 is 1.

Therefore, GCD of numbers 309, 657, 696, 770 is 1

Given Input Data is 309, 657, 696, 770

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 770 is 2 x 5 x 7 x 11

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, 657) = 67671

GCD(309, 657) = ( 309 x 657 ) / 67671

GCD(309, 657) = 203013 / 67671

GCD(309, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 770

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

LCM(3, 770) = 2310

GCD(3, 770) = ( 3 x 770 ) / 2310

GCD(3, 770) = 2310 / 2310

GCD(3, 770) = 1

GCD of 309, 657, 696, 770 is 1

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1. What is the GCD of 309, 657, 696, 770?

GCD of 309, 657, 696, 770 is 1

2. Where do I get the detailed procedure to find GCD of 309, 657, 696, 770?

You can find a detailed procedure to find GCD of 309, 657, 696, 770 on our page.

3. How to find GCD of 309, 657, 696, 770 on a calculator?

You can find the GCD of 309, 657, 696, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.