GCD of 37, 934, 816, 825 Calculator

Given Input numbers are 37, 934, 816, 825

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 37, 934, 816, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 934, 816, 825 is 1.

Therefore, GCD of numbers 37, 934, 816, 825 is 1

Given Input Data is 37, 934, 816, 825

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

Prime Factorization of 37 is 37

Prime Factorization of 934 is 2 x 467

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(37, 934) = 34558

GCD(37, 934) = ( 37 x 934 ) / 34558

GCD(37, 934) = 34558 / 34558

GCD(37, 934) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 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 37, 934, 816, 825 is 1

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1. What is the GCD of 37, 934, 816, 825?

GCD of 37, 934, 816, 825 is 1

2. Where do I get the detailed procedure to find GCD of 37, 934, 816, 825?

You can find a detailed procedure to find GCD of 37, 934, 816, 825 on our page.

3. How to find GCD of 37, 934, 816, 825 on a calculator?

You can find the GCD of 37, 934, 816, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.