GCD of 717, 395, 98, 480 Calculator

Given Input numbers are 717, 395, 98, 480

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 717, 395, 98, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 395, 98, 480 is 1.

Therefore, GCD of numbers 717, 395, 98, 480 is 1

Given Input Data is 717, 395, 98, 480

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 395 is 5 x 79

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(717, 395) = 283215

GCD(717, 395) = ( 717 x 395 ) / 283215

GCD(717, 395) = 283215 / 283215

GCD(717, 395) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 717, 395, 98, 480 is 1

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1. What is the GCD of 717, 395, 98, 480?

GCD of 717, 395, 98, 480 is 1

2. Where do I get the detailed procedure to find GCD of 717, 395, 98, 480?

You can find a detailed procedure to find GCD of 717, 395, 98, 480 on our page.

3. How to find GCD of 717, 395, 98, 480 on a calculator?

You can find the GCD of 717, 395, 98, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.