GCD of 726, 730, 507, 868 Calculator

Given Input numbers are 726, 730, 507, 868

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 726, 730, 507, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 730, 507, 868 is 1.

Therefore, GCD of numbers 726, 730, 507, 868 is 1

Given Input Data is 726, 730, 507, 868

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 730 is 2 x 5 x 73

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 868 is 2 x 2 x 7 x 31

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, 730) = 264990

GCD(726, 730) = ( 726 x 730 ) / 264990

GCD(726, 730) = 529980 / 264990

GCD(726, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 726, 730, 507, 868 is 1

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1. What is the GCD of 726, 730, 507, 868?

GCD of 726, 730, 507, 868 is 1

2. Where do I get the detailed procedure to find GCD of 726, 730, 507, 868?

You can find a detailed procedure to find GCD of 726, 730, 507, 868 on our page.

3. How to find GCD of 726, 730, 507, 868 on a calculator?

You can find the GCD of 726, 730, 507, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.