GCD of 282, 945, 392 Calculator

Given Input numbers are 282, 945, 392

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 282, 945, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 945, 392 is 1.

Therefore, GCD of numbers 282, 945, 392 is 1

Given Input Data is 282, 945, 392

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 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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, 945) = 88830

GCD(282, 945) = ( 282 x 945 ) / 88830

GCD(282, 945) = 266490 / 88830

GCD(282, 945) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 392

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

LCM(3, 392) = 1176

GCD(3, 392) = ( 3 x 392 ) / 1176

GCD(3, 392) = 1176 / 1176

GCD(3, 392) = 1

GCD of 282, 945, 392 is 1

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1. What is the GCD of 282, 945, 392?

GCD of 282, 945, 392 is 1

2. Where do I get the detailed procedure to find GCD of 282, 945, 392?

You can find a detailed procedure to find GCD of 282, 945, 392 on our page.

3. How to find GCD of 282, 945, 392 on a calculator?

You can find the GCD of 282, 945, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.