GCD of 696, 648, 595, 726 Calculator

Given Input numbers are 696, 648, 595, 726

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

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

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 696, 648, 595, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 648, 595, 726 is 1.

Therefore, GCD of numbers 696, 648, 595, 726 is 1

Given Input Data is 696, 648, 595, 726

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

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 595 is 5 x 7 x 17

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(696, 648) = 18792

GCD(696, 648) = ( 696 x 648 ) / 18792

GCD(696, 648) = 451008 / 18792

GCD(696, 648) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 595

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

LCM(24, 595) = 14280

GCD(24, 595) = ( 24 x 595 ) / 14280

GCD(24, 595) = 14280 / 14280

GCD(24, 595) = 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 696, 648, 595, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 614, 870, 870
• GCD of 782, 847, 443, 383
• GCD of 813, 695, 142, 986
• GCD of 960, 974, 155, 552
• GCD of 499, 362, 638, 568

1. What is the GCD of 696, 648, 595, 726?

GCD of 696, 648, 595, 726 is 1

2. Where do I get the detailed procedure to find GCD of 696, 648, 595, 726?

You can find a detailed procedure to find GCD of 696, 648, 595, 726 on our page.

3. How to find GCD of 696, 648, 595, 726 on a calculator?

You can find the GCD of 696, 648, 595, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.