GCD of 46, 882, 363, 782 Calculator

Given Input numbers are 46, 882, 363, 782

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 782

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

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

Greatest Common Divisior

We found the divisors of 46, 882, 363, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 882, 363, 782 is 1.

Therefore, GCD of numbers 46, 882, 363, 782 is 1

Given Input Data is 46, 882, 363, 782

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 782 is 2 x 17 x 23

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(46, 882) = 20286

GCD(46, 882) = ( 46 x 882 ) / 20286

GCD(46, 882) = 40572 / 20286

GCD(46, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 46, 882, 363, 782 is 1

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• GCD of 35, 255, 819, 741
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• GCD of 51, 426, 555, 644

1. What is the GCD of 46, 882, 363, 782?

GCD of 46, 882, 363, 782 is 1

2. Where do I get the detailed procedure to find GCD of 46, 882, 363, 782?

You can find a detailed procedure to find GCD of 46, 882, 363, 782 on our page.

3. How to find GCD of 46, 882, 363, 782 on a calculator?

You can find the GCD of 46, 882, 363, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.