GCD of 462, 192, 853, 786 Calculator

Given Input numbers are 462, 192, 853, 786

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 462, 192, 853, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 192, 853, 786 is 1.

Therefore, GCD of numbers 462, 192, 853, 786 is 1

Given Input Data is 462, 192, 853, 786

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 853 is 853

Prime Factorization of 786 is 2 x 3 x 131

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(462, 192) = 14784

GCD(462, 192) = ( 462 x 192 ) / 14784

GCD(462, 192) = 88704 / 14784

GCD(462, 192) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 853

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

LCM(6, 853) = 5118

GCD(6, 853) = ( 6 x 853 ) / 5118

GCD(6, 853) = 5118 / 5118

GCD(6, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 462, 192, 853, 786 is 1

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1. What is the GCD of 462, 192, 853, 786?

GCD of 462, 192, 853, 786 is 1

2. Where do I get the detailed procedure to find GCD of 462, 192, 853, 786?

You can find a detailed procedure to find GCD of 462, 192, 853, 786 on our page.

3. How to find GCD of 462, 192, 853, 786 on a calculator?

You can find the GCD of 462, 192, 853, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.