GCD of 240, 591, 15, 545 Calculator

Given Input numbers are 240, 591, 15, 545

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 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 240, 591, 15, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 591, 15, 545 is 1.

Therefore, GCD of numbers 240, 591, 15, 545 is 1

Given Input Data is 240, 591, 15, 545

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 591 is 3 x 197

Prime Factorization of 15 is 3 x 5

Prime Factorization of 545 is 5 x 109

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, 591) = 47280

GCD(240, 591) = ( 240 x 591 ) / 47280

GCD(240, 591) = 141840 / 47280

GCD(240, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 545

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

LCM(3, 545) = 1635

GCD(3, 545) = ( 3 x 545 ) / 1635

GCD(3, 545) = 1635 / 1635

GCD(3, 545) = 1

GCD of 240, 591, 15, 545 is 1

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1. What is the GCD of 240, 591, 15, 545?

GCD of 240, 591, 15, 545 is 1

2. Where do I get the detailed procedure to find GCD of 240, 591, 15, 545?

You can find a detailed procedure to find GCD of 240, 591, 15, 545 on our page.

3. How to find GCD of 240, 591, 15, 545 on a calculator?

You can find the GCD of 240, 591, 15, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.