GCD of 759, 517, 217, 482 Calculator

Given Input numbers are 759, 517, 217, 482

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 759, 517, 217, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 517, 217, 482 is 1.

Therefore, GCD of numbers 759, 517, 217, 482 is 1

Given Input Data is 759, 517, 217, 482

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 517 is 11 x 47

Prime Factorization of 217 is 7 x 31

Prime Factorization of 482 is 2 x 241

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(759, 517) = 35673

GCD(759, 517) = ( 759 x 517 ) / 35673

GCD(759, 517) = 392403 / 35673

GCD(759, 517) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 217

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

LCM(11, 217) = 2387

GCD(11, 217) = ( 11 x 217 ) / 2387

GCD(11, 217) = 2387 / 2387

GCD(11, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 482

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

LCM(1, 482) = 482

GCD(1, 482) = ( 1 x 482 ) / 482

GCD(1, 482) = 482 / 482

GCD(1, 482) = 1

GCD of 759, 517, 217, 482 is 1

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1. What is the GCD of 759, 517, 217, 482?

GCD of 759, 517, 217, 482 is 1

2. Where do I get the detailed procedure to find GCD of 759, 517, 217, 482?

You can find a detailed procedure to find GCD of 759, 517, 217, 482 on our page.

3. How to find GCD of 759, 517, 217, 482 on a calculator?

You can find the GCD of 759, 517, 217, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.