GCD of 715, 720, 487, 655 Calculator

Given Input numbers are 715, 720, 487, 655

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 715, 720, 487, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 720, 487, 655 is 1.

Therefore, GCD of numbers 715, 720, 487, 655 is 1

Given Input Data is 715, 720, 487, 655

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 487 is 487

Prime Factorization of 655 is 5 x 131

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(715, 720) = 102960

GCD(715, 720) = ( 715 x 720 ) / 102960

GCD(715, 720) = 514800 / 102960

GCD(715, 720) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 487

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

LCM(5, 487) = 2435

GCD(5, 487) = ( 5 x 487 ) / 2435

GCD(5, 487) = 2435 / 2435

GCD(5, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 715, 720, 487, 655 is 1

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1. What is the GCD of 715, 720, 487, 655?

GCD of 715, 720, 487, 655 is 1

2. Where do I get the detailed procedure to find GCD of 715, 720, 487, 655?

You can find a detailed procedure to find GCD of 715, 720, 487, 655 on our page.

3. How to find GCD of 715, 720, 487, 655 on a calculator?

You can find the GCD of 715, 720, 487, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.