GCD of 102, 827, 168, 686 Calculator

Given Input numbers are 102, 827, 168, 686

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 102, 827, 168, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 827, 168, 686 is 1.

Therefore, GCD of numbers 102, 827, 168, 686 is 1

Given Input Data is 102, 827, 168, 686

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 827 is 827

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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

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(102, 827) = 84354

GCD(102, 827) = ( 102 x 827 ) / 84354

GCD(102, 827) = 84354 / 84354

GCD(102, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 102, 827, 168, 686 is 1

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1. What is the GCD of 102, 827, 168, 686?

GCD of 102, 827, 168, 686 is 1

2. Where do I get the detailed procedure to find GCD of 102, 827, 168, 686?

You can find a detailed procedure to find GCD of 102, 827, 168, 686 on our page.

3. How to find GCD of 102, 827, 168, 686 on a calculator?

You can find the GCD of 102, 827, 168, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.