GCD of 108, 850, 688, 259 Calculator

Given Input numbers are 108, 850, 688, 259

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 108, 850, 688, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 850, 688, 259 is 1.

Therefore, GCD of numbers 108, 850, 688, 259 is 1

Given Input Data is 108, 850, 688, 259

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 259 is 7 x 37

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(108, 850) = 45900

GCD(108, 850) = ( 108 x 850 ) / 45900

GCD(108, 850) = 91800 / 45900

GCD(108, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

GCD of 108, 850, 688, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 163, 973, 909
• GCD of 432, 375, 173, 200
• GCD of 510, 753, 367, 629
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• GCD of 541, 842, 222, 230

1. What is the GCD of 108, 850, 688, 259?

GCD of 108, 850, 688, 259 is 1

2. Where do I get the detailed procedure to find GCD of 108, 850, 688, 259?

You can find a detailed procedure to find GCD of 108, 850, 688, 259 on our page.

3. How to find GCD of 108, 850, 688, 259 on a calculator?

You can find the GCD of 108, 850, 688, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.