GCD of 851, 342, 470, 192 Calculator

Given Input numbers are 851, 342, 470, 192

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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

Greatest Common Divisior

We found the divisors of 851, 342, 470, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 342, 470, 192 is 1.

Therefore, GCD of numbers 851, 342, 470, 192 is 1

Given Input Data is 851, 342, 470, 192

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 470 is 2 x 5 x 47

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

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(851, 342) = 291042

GCD(851, 342) = ( 851 x 342 ) / 291042

GCD(851, 342) = 291042 / 291042

GCD(851, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 1

GCD of 851, 342, 470, 192 is 1

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1. What is the GCD of 851, 342, 470, 192?

GCD of 851, 342, 470, 192 is 1

2. Where do I get the detailed procedure to find GCD of 851, 342, 470, 192?

You can find a detailed procedure to find GCD of 851, 342, 470, 192 on our page.

3. How to find GCD of 851, 342, 470, 192 on a calculator?

You can find the GCD of 851, 342, 470, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.