GCD of 787, 357, 306, 462 Calculator

Given Input numbers are 787, 357, 306, 462

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

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

Greatest Common Divisior

We found the divisors of 787, 357, 306, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 357, 306, 462 is 1.

Therefore, GCD of numbers 787, 357, 306, 462 is 1

Given Input Data is 787, 357, 306, 462

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

Prime Factorization of 787 is 787

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 306 is 2 x 3 x 3 x 17

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

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(787, 357) = 280959

GCD(787, 357) = ( 787 x 357 ) / 280959

GCD(787, 357) = 280959 / 280959

GCD(787, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 787, 357, 306, 462 is 1

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1. What is the GCD of 787, 357, 306, 462?

GCD of 787, 357, 306, 462 is 1

2. Where do I get the detailed procedure to find GCD of 787, 357, 306, 462?

You can find a detailed procedure to find GCD of 787, 357, 306, 462 on our page.

3. How to find GCD of 787, 357, 306, 462 on a calculator?

You can find the GCD of 787, 357, 306, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.