GCD of 317, 964, 421, 825 Calculator

Given Input numbers are 317, 964, 421, 825

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

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

Greatest Common Divisior

We found the divisors of 317, 964, 421, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 964, 421, 825 is 1.

Therefore, GCD of numbers 317, 964, 421, 825 is 1

Given Input Data is 317, 964, 421, 825

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

Prime Factorization of 317 is 317

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 421 is 421

Prime Factorization of 825 is 3 x 5 x 5 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(317, 964) = 305588

GCD(317, 964) = ( 317 x 964 ) / 305588

GCD(317, 964) = 305588 / 305588

GCD(317, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 317, 964, 421, 825 is 1

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• GCD of 424, 228, 748, 959
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• GCD of 489, 882, 632, 255

1. What is the GCD of 317, 964, 421, 825?

GCD of 317, 964, 421, 825 is 1

2. Where do I get the detailed procedure to find GCD of 317, 964, 421, 825?

You can find a detailed procedure to find GCD of 317, 964, 421, 825 on our page.

3. How to find GCD of 317, 964, 421, 825 on a calculator?

You can find the GCD of 317, 964, 421, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.