GCD of 240, 581, 45, 726 Calculator

Given Input numbers are 240, 581, 45, 726

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 240, 581, 45, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 581, 45, 726 is 1.

Therefore, GCD of numbers 240, 581, 45, 726 is 1

Given Input Data is 240, 581, 45, 726

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 581 is 7 x 83

Prime Factorization of 45 is 3 x 3 x 5

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(240, 581) = 139440

GCD(240, 581) = ( 240 x 581 ) / 139440

GCD(240, 581) = 139440 / 139440

GCD(240, 581) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 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 240, 581, 45, 726 is 1

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1. What is the GCD of 240, 581, 45, 726?

GCD of 240, 581, 45, 726 is 1

2. Where do I get the detailed procedure to find GCD of 240, 581, 45, 726?

You can find a detailed procedure to find GCD of 240, 581, 45, 726 on our page.

3. How to find GCD of 240, 581, 45, 726 on a calculator?

You can find the GCD of 240, 581, 45, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.