GCD of 825, 459, 56, 937 Calculator

Given Input numbers are 825, 459, 56, 937

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Greatest Common Divisior

We found the divisors of 825, 459, 56, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 459, 56, 937 is 1.

Therefore, GCD of numbers 825, 459, 56, 937 is 1

Given Input Data is 825, 459, 56, 937

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 459 is 3 x 3 x 3 x 17

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 937 is 937

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, 459) = 126225

GCD(825, 459) = ( 825 x 459 ) / 126225

GCD(825, 459) = 378675 / 126225

GCD(825, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 937

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

LCM(1, 937) = 937

GCD(1, 937) = ( 1 x 937 ) / 937

GCD(1, 937) = 937 / 937

GCD(1, 937) = 1

GCD of 825, 459, 56, 937 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 918, 72, 129
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• GCD of 746, 290, 81, 453

1. What is the GCD of 825, 459, 56, 937?

GCD of 825, 459, 56, 937 is 1

2. Where do I get the detailed procedure to find GCD of 825, 459, 56, 937?

You can find a detailed procedure to find GCD of 825, 459, 56, 937 on our page.

3. How to find GCD of 825, 459, 56, 937 on a calculator?

You can find the GCD of 825, 459, 56, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.