GCD of 255, 854, 39, 958 Calculator

Given Input numbers are 255, 854, 39, 958

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 255, 854, 39, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 854, 39, 958 is 1.

Therefore, GCD of numbers 255, 854, 39, 958 is 1

Given Input Data is 255, 854, 39, 958

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 39 is 3 x 13

Prime Factorization of 958 is 2 x 479

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(255, 854) = 217770

GCD(255, 854) = ( 255 x 854 ) / 217770

GCD(255, 854) = 217770 / 217770

GCD(255, 854) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 255, 854, 39, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 726, 26, 740
• GCD of 127, 857, 22, 874
• GCD of 478, 419, 32, 409
• GCD of 556, 105, 83, 986
• GCD of 528, 723, 88, 330

1. What is the GCD of 255, 854, 39, 958?

GCD of 255, 854, 39, 958 is 1

2. Where do I get the detailed procedure to find GCD of 255, 854, 39, 958?

You can find a detailed procedure to find GCD of 255, 854, 39, 958 on our page.

3. How to find GCD of 255, 854, 39, 958 on a calculator?

You can find the GCD of 255, 854, 39, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.