GCD of 282, 825, 10, 370 Calculator

Given Input numbers are 282, 825, 10, 370

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 282, 825, 10, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 825, 10, 370 is 1.

Therefore, GCD of numbers 282, 825, 10, 370 is 1

Given Input Data is 282, 825, 10, 370

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

Prime Factorization of 282 is 2 x 3 x 47

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 370 is 2 x 5 x 37

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(282, 825) = 77550

GCD(282, 825) = ( 282 x 825 ) / 77550

GCD(282, 825) = 232650 / 77550

GCD(282, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 282, 825, 10, 370 is 1

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• GCD of 275, 118, 67, 605
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1. What is the GCD of 282, 825, 10, 370?

GCD of 282, 825, 10, 370 is 1

2. Where do I get the detailed procedure to find GCD of 282, 825, 10, 370?

You can find a detailed procedure to find GCD of 282, 825, 10, 370 on our page.

3. How to find GCD of 282, 825, 10, 370 on a calculator?

You can find the GCD of 282, 825, 10, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.