GCD of 517, 686, 98, 908 Calculator

Given Input numbers are 517, 686, 98, 908

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 517, 686, 98, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 686, 98, 908 is 1.

Therefore, GCD of numbers 517, 686, 98, 908 is 1

Given Input Data is 517, 686, 98, 908

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 908 is 2 x 2 x 227

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, 686) = 354662

GCD(517, 686) = ( 517 x 686 ) / 354662

GCD(517, 686) = 354662 / 354662

GCD(517, 686) = 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 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 517, 686, 98, 908 is 1

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1. What is the GCD of 517, 686, 98, 908?

GCD of 517, 686, 98, 908 is 1

2. Where do I get the detailed procedure to find GCD of 517, 686, 98, 908?

You can find a detailed procedure to find GCD of 517, 686, 98, 908 on our page.

3. How to find GCD of 517, 686, 98, 908 on a calculator?

You can find the GCD of 517, 686, 98, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.