GCD of 310, 328, 634, 975 Calculator

Given Input numbers are 310, 328, 634, 975

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 310, 328, 634, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 328, 634, 975 is 1.

Therefore, GCD of numbers 310, 328, 634, 975 is 1

Given Input Data is 310, 328, 634, 975

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 328 is 2 x 2 x 2 x 41

Prime Factorization of 634 is 2 x 317

Prime Factorization of 975 is 3 x 5 x 5 x 13

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, 328) = 50840

GCD(310, 328) = ( 310 x 328 ) / 50840

GCD(310, 328) = 101680 / 50840

GCD(310, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 975

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

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

GCD(2, 975) = 1950 / 1950

GCD(2, 975) = 1

GCD of 310, 328, 634, 975 is 1

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• GCD of 155, 208, 653, 461
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1. What is the GCD of 310, 328, 634, 975?

GCD of 310, 328, 634, 975 is 1

2. Where do I get the detailed procedure to find GCD of 310, 328, 634, 975?

You can find a detailed procedure to find GCD of 310, 328, 634, 975 on our page.

3. How to find GCD of 310, 328, 634, 975 on a calculator?

You can find the GCD of 310, 328, 634, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.