GCD of 955, 905, 958, 310 Calculator

Given Input numbers are 955, 905, 958, 310

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

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 958

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

1, 2, 479, 958

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 955, 905, 958, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 955, 905, 958, 310 is 1.

Therefore, GCD of numbers 955, 905, 958, 310 is 1

Given Input Data is 955, 905, 958, 310

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

Prime Factorization of 955 is 5 x 191

Prime Factorization of 905 is 5 x 181

Prime Factorization of 958 is 2 x 479

Prime Factorization of 310 is 2 x 5 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(955, 905) = 172855

GCD(955, 905) = ( 955 x 905 ) / 172855

GCD(955, 905) = 864275 / 172855

GCD(955, 905) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 958

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

LCM(5, 958) = 4790

GCD(5, 958) = ( 5 x 958 ) / 4790

GCD(5, 958) = 4790 / 4790

GCD(5, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 955, 905, 958, 310 is 1

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1. What is the GCD of 955, 905, 958, 310?

GCD of 955, 905, 958, 310 is 1

2. Where do I get the detailed procedure to find GCD of 955, 905, 958, 310?

You can find a detailed procedure to find GCD of 955, 905, 958, 310 on our page.

3. How to find GCD of 955, 905, 958, 310 on a calculator?

You can find the GCD of 955, 905, 958, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.