GCD of 782, 442, 71, 282 Calculator

Given Input numbers are 782, 442, 71, 282

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 282

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

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

Greatest Common Divisior

We found the divisors of 782, 442, 71, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 442, 71, 282 is 1.

Therefore, GCD of numbers 782, 442, 71, 282 is 1

Given Input Data is 782, 442, 71, 282

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 71 is 71

Prime Factorization of 282 is 2 x 3 x 47

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(782, 442) = 10166

GCD(782, 442) = ( 782 x 442 ) / 10166

GCD(782, 442) = 345644 / 10166

GCD(782, 442) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 71

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

LCM(34, 71) = 2414

GCD(34, 71) = ( 34 x 71 ) / 2414

GCD(34, 71) = 2414 / 2414

GCD(34, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 782, 442, 71, 282 is 1

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• GCD of 253, 540, 19, 241
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• GCD of 711, 828, 67, 881

1. What is the GCD of 782, 442, 71, 282?

GCD of 782, 442, 71, 282 is 1

2. Where do I get the detailed procedure to find GCD of 782, 442, 71, 282?

You can find a detailed procedure to find GCD of 782, 442, 71, 282 on our page.

3. How to find GCD of 782, 442, 71, 282 on a calculator?

You can find the GCD of 782, 442, 71, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.