GCD of 427, 327, 48, 782 Calculator

Given Input numbers are 427, 327, 48, 782

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 427, 327, 48, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 327, 48, 782 is 1.

Therefore, GCD of numbers 427, 327, 48, 782 is 1

Given Input Data is 427, 327, 48, 782

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 327 is 3 x 109

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(427, 327) = 139629

GCD(427, 327) = ( 427 x 327 ) / 139629

GCD(427, 327) = 139629 / 139629

GCD(427, 327) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 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 427, 327, 48, 782 is 1

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1. What is the GCD of 427, 327, 48, 782?

GCD of 427, 327, 48, 782 is 1

2. Where do I get the detailed procedure to find GCD of 427, 327, 48, 782?

You can find a detailed procedure to find GCD of 427, 327, 48, 782 on our page.

3. How to find GCD of 427, 327, 48, 782 on a calculator?

You can find the GCD of 427, 327, 48, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.