GCD of 79, 696, 209, 686 Calculator

Given Input numbers are 79, 696, 209, 686

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

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

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 79, 696, 209, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 696, 209, 686 is 1.

Therefore, GCD of numbers 79, 696, 209, 686 is 1

Given Input Data is 79, 696, 209, 686

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

Prime Factorization of 79 is 79

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

Prime Factorization of 209 is 11 x 19

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(79, 696) = 54984

GCD(79, 696) = ( 79 x 696 ) / 54984

GCD(79, 696) = 54984 / 54984

GCD(79, 696) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 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 79, 696, 209, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 518, 755, 172
• GCD of 29, 906, 813, 164
• GCD of 32, 899, 615, 759
• GCD of 87, 660, 389, 101
• GCD of 49, 973, 279, 821

1. What is the GCD of 79, 696, 209, 686?

GCD of 79, 696, 209, 686 is 1

2. Where do I get the detailed procedure to find GCD of 79, 696, 209, 686?

You can find a detailed procedure to find GCD of 79, 696, 209, 686 on our page.

3. How to find GCD of 79, 696, 209, 686 on a calculator?

You can find the GCD of 79, 696, 209, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.