GCD of 282, 796, 47, 978 Calculator

Given Input numbers are 282, 796, 47, 978

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 282, 796, 47, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 796, 47, 978 is 1.

Therefore, GCD of numbers 282, 796, 47, 978 is 1

Given Input Data is 282, 796, 47, 978

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 796 is 2 x 2 x 199

Prime Factorization of 47 is 47

Prime Factorization of 978 is 2 x 3 x 163

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, 796) = 112236

GCD(282, 796) = ( 282 x 796 ) / 112236

GCD(282, 796) = 224472 / 112236

GCD(282, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 282, 796, 47, 978 is 1

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1. What is the GCD of 282, 796, 47, 978?

GCD of 282, 796, 47, 978 is 1

2. Where do I get the detailed procedure to find GCD of 282, 796, 47, 978?

You can find a detailed procedure to find GCD of 282, 796, 47, 978 on our page.

3. How to find GCD of 282, 796, 47, 978 on a calculator?

You can find the GCD of 282, 796, 47, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.