GCD of 268, 106, 185, 868 Calculator

Given Input numbers are 268, 106, 185, 868

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 268, 106, 185, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 106, 185, 868 is 1.

Therefore, GCD of numbers 268, 106, 185, 868 is 1

Given Input Data is 268, 106, 185, 868

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 106 is 2 x 53

Prime Factorization of 185 is 5 x 37

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(268, 106) = 14204

GCD(268, 106) = ( 268 x 106 ) / 14204

GCD(268, 106) = 28408 / 14204

GCD(268, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 268, 106, 185, 868 is 1

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1. What is the GCD of 268, 106, 185, 868?

GCD of 268, 106, 185, 868 is 1

2. Where do I get the detailed procedure to find GCD of 268, 106, 185, 868?

You can find a detailed procedure to find GCD of 268, 106, 185, 868 on our page.

3. How to find GCD of 268, 106, 185, 868 on a calculator?

You can find the GCD of 268, 106, 185, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.