GCD of 310, 508, 48, 961 Calculator

Given Input numbers are 310, 508, 48, 961

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

Divisors of 310

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

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 310, 508, 48, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 508, 48, 961 is 1.

Therefore, GCD of numbers 310, 508, 48, 961 is 1

Given Input Data is 310, 508, 48, 961

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 961 is 31 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(310, 508) = 78740

GCD(310, 508) = ( 310 x 508 ) / 78740

GCD(310, 508) = 157480 / 78740

GCD(310, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

GCD of 310, 508, 48, 961 is 1

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1. What is the GCD of 310, 508, 48, 961?

GCD of 310, 508, 48, 961 is 1

2. Where do I get the detailed procedure to find GCD of 310, 508, 48, 961?

You can find a detailed procedure to find GCD of 310, 508, 48, 961 on our page.

3. How to find GCD of 310, 508, 48, 961 on a calculator?

You can find the GCD of 310, 508, 48, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.