GCD of 14, 985, 779, 726 Calculator

Given Input numbers are 14, 985, 779, 726

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 14, 985, 779, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 985, 779, 726 is 1.

Therefore, GCD of numbers 14, 985, 779, 726 is 1

Given Input Data is 14, 985, 779, 726

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 985 is 5 x 197

Prime Factorization of 779 is 19 x 41

Prime Factorization of 726 is 2 x 3 x 11 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(14, 985) = 13790

GCD(14, 985) = ( 14 x 985 ) / 13790

GCD(14, 985) = 13790 / 13790

GCD(14, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 14, 985, 779, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 162, 844, 475
• GCD of 42, 326, 102, 855
• GCD of 91, 908, 478, 672
• GCD of 29, 923, 156, 579
• GCD of 22, 679, 825, 456

1. What is the GCD of 14, 985, 779, 726?

GCD of 14, 985, 779, 726 is 1

2. Where do I get the detailed procedure to find GCD of 14, 985, 779, 726?

You can find a detailed procedure to find GCD of 14, 985, 779, 726 on our page.

3. How to find GCD of 14, 985, 779, 726 on a calculator?

You can find the GCD of 14, 985, 779, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.