GCD of 825, 310, 968 Calculator

Given Input numbers are 825, 310, 968

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 825, 310, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 310, 968 is 1.

Therefore, GCD of numbers 825, 310, 968 is 1

Given Input Data is 825, 310, 968

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(825, 310) = 51150

GCD(825, 310) = ( 825 x 310 ) / 51150

GCD(825, 310) = 255750 / 51150

GCD(825, 310) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 968

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

LCM(5, 968) = 4840

GCD(5, 968) = ( 5 x 968 ) / 4840

GCD(5, 968) = 4840 / 4840

GCD(5, 968) = 1

GCD of 825, 310, 968 is 1

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1. What is the GCD of 825, 310, 968?

GCD of 825, 310, 968 is 1

2. Where do I get the detailed procedure to find GCD of 825, 310, 968?

You can find a detailed procedure to find GCD of 825, 310, 968 on our page.

3. How to find GCD of 825, 310, 968 on a calculator?

You can find the GCD of 825, 310, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.