GCD of 680, 286, 125, 102 Calculator

Given Input numbers are 680, 286, 125, 102

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 102

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

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

Greatest Common Divisior

We found the divisors of 680, 286, 125, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 286, 125, 102 is 1.

Therefore, GCD of numbers 680, 286, 125, 102 is 1

Given Input Data is 680, 286, 125, 102

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 102 is 2 x 3 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(680, 286) = 97240

GCD(680, 286) = ( 680 x 286 ) / 97240

GCD(680, 286) = 194480 / 97240

GCD(680, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 680, 286, 125, 102 is 1

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1. What is the GCD of 680, 286, 125, 102?

GCD of 680, 286, 125, 102 is 1

2. Where do I get the detailed procedure to find GCD of 680, 286, 125, 102?

You can find a detailed procedure to find GCD of 680, 286, 125, 102 on our page.

3. How to find GCD of 680, 286, 125, 102 on a calculator?

You can find the GCD of 680, 286, 125, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.