GCD of 517, 976, 14, 425 Calculator

Given Input numbers are 517, 976, 14, 425

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

Divisors of 517

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

1, 11, 47, 517

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 517, 976, 14, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 976, 14, 425 is 1.

Therefore, GCD of numbers 517, 976, 14, 425 is 1

Given Input Data is 517, 976, 14, 425

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 14 is 2 x 7

Prime Factorization of 425 is 5 x 5 x 17

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(517, 976) = 504592

GCD(517, 976) = ( 517 x 976 ) / 504592

GCD(517, 976) = 504592 / 504592

GCD(517, 976) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

GCD of 517, 976, 14, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 797, 26, 568
• GCD of 425, 888, 80, 609
• GCD of 283, 130, 37, 770
• GCD of 777, 530, 19, 745
• GCD of 715, 677, 48, 607

1. What is the GCD of 517, 976, 14, 425?

GCD of 517, 976, 14, 425 is 1

2. Where do I get the detailed procedure to find GCD of 517, 976, 14, 425?

You can find a detailed procedure to find GCD of 517, 976, 14, 425 on our page.

3. How to find GCD of 517, 976, 14, 425 on a calculator?

You can find the GCD of 517, 976, 14, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.