GCD of 726, 525, 286, 696 Calculator

Given Input numbers are 726, 525, 286, 696

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

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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

Greatest Common Divisior

We found the divisors of 726, 525, 286, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 525, 286, 696 is 1.

Therefore, GCD of numbers 726, 525, 286, 696 is 1

Given Input Data is 726, 525, 286, 696

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 286 is 2 x 11 x 13

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

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(726, 525) = 127050

GCD(726, 525) = ( 726 x 525 ) / 127050

GCD(726, 525) = 381150 / 127050

GCD(726, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 286

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

LCM(3, 286) = 858

GCD(3, 286) = ( 3 x 286 ) / 858

GCD(3, 286) = 858 / 858

GCD(3, 286) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 726, 525, 286, 696 is 1

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1. What is the GCD of 726, 525, 286, 696?

GCD of 726, 525, 286, 696 is 1

2. Where do I get the detailed procedure to find GCD of 726, 525, 286, 696?

You can find a detailed procedure to find GCD of 726, 525, 286, 696 on our page.

3. How to find GCD of 726, 525, 286, 696 on a calculator?

You can find the GCD of 726, 525, 286, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.