GCD of 196, 486, 57, 390 Calculator

Given Input numbers are 196, 486, 57, 390

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 196, 486, 57, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 486, 57, 390 is 1.

Therefore, GCD of numbers 196, 486, 57, 390 is 1

Given Input Data is 196, 486, 57, 390

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 57 is 3 x 19

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(196, 486) = 47628

GCD(196, 486) = ( 196 x 486 ) / 47628

GCD(196, 486) = 95256 / 47628

GCD(196, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 196, 486, 57, 390 is 1

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1. What is the GCD of 196, 486, 57, 390?

GCD of 196, 486, 57, 390 is 1

2. Where do I get the detailed procedure to find GCD of 196, 486, 57, 390?

You can find a detailed procedure to find GCD of 196, 486, 57, 390 on our page.

3. How to find GCD of 196, 486, 57, 390 on a calculator?

You can find the GCD of 196, 486, 57, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.