GCD of 254, 868, 108, 852 Calculator

Given Input numbers are 254, 868, 108, 852

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 254, 868, 108, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 868, 108, 852 is 2.

Therefore, GCD of numbers 254, 868, 108, 852 is 2

Given Input Data is 254, 868, 108, 852

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

Prime Factorization of 254 is 2 x 127

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

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(254, 868) = 110236

GCD(254, 868) = ( 254 x 868 ) / 110236

GCD(254, 868) = 220472 / 110236

GCD(254, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 254, 868, 108, 852 is 2

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1. What is the GCD of 254, 868, 108, 852?

GCD of 254, 868, 108, 852 is 2

2. Where do I get the detailed procedure to find GCD of 254, 868, 108, 852?

You can find a detailed procedure to find GCD of 254, 868, 108, 852 on our page.

3. How to find GCD of 254, 868, 108, 852 on a calculator?

You can find the GCD of 254, 868, 108, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.