GCD of 455, 612, 507, 726 Calculator

Given Input numbers are 455, 612, 507, 726

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 507

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

1, 3, 13, 39, 169, 507

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 455, 612, 507, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 612, 507, 726 is 1.

Therefore, GCD of numbers 455, 612, 507, 726 is 1

Given Input Data is 455, 612, 507, 726

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 507 is 3 x 13 x 13

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(455, 612) = 278460

GCD(455, 612) = ( 455 x 612 ) / 278460

GCD(455, 612) = 278460 / 278460

GCD(455, 612) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 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 455, 612, 507, 726 is 1

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1. What is the GCD of 455, 612, 507, 726?

GCD of 455, 612, 507, 726 is 1

2. Where do I get the detailed procedure to find GCD of 455, 612, 507, 726?

You can find a detailed procedure to find GCD of 455, 612, 507, 726 on our page.

3. How to find GCD of 455, 612, 507, 726 on a calculator?

You can find the GCD of 455, 612, 507, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.