GCD of 707, 339, 39, 686 Calculator

Given Input numbers are 707, 339, 39, 686

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 707, 339, 39, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 339, 39, 686 is 1.

Therefore, GCD of numbers 707, 339, 39, 686 is 1

Given Input Data is 707, 339, 39, 686

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 339 is 3 x 113

Prime Factorization of 39 is 3 x 13

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(707, 339) = 239673

GCD(707, 339) = ( 707 x 339 ) / 239673

GCD(707, 339) = 239673 / 239673

GCD(707, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 707, 339, 39, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 207, 10, 957
• GCD of 102, 884, 32, 932
• GCD of 318, 743, 33, 608
• GCD of 740, 862, 19, 617
• GCD of 340, 826, 14, 124

1. What is the GCD of 707, 339, 39, 686?

GCD of 707, 339, 39, 686 is 1

2. Where do I get the detailed procedure to find GCD of 707, 339, 39, 686?

You can find a detailed procedure to find GCD of 707, 339, 39, 686 on our page.

3. How to find GCD of 707, 339, 39, 686 on a calculator?

You can find the GCD of 707, 339, 39, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.