GCD of 783, 345, 857 Calculator

Given Input numbers are 783, 345, 857

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 783, 345, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 345, 857 is 1.

Therefore, GCD of numbers 783, 345, 857 is 1

Given Input Data is 783, 345, 857

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 857 is 857

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(783, 345) = 90045

GCD(783, 345) = ( 783 x 345 ) / 90045

GCD(783, 345) = 270135 / 90045

GCD(783, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 857

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

LCM(3, 857) = 2571

GCD(3, 857) = ( 3 x 857 ) / 2571

GCD(3, 857) = 2571 / 2571

GCD(3, 857) = 1

GCD of 783, 345, 857 is 1

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1. What is the GCD of 783, 345, 857?

GCD of 783, 345, 857 is 1

2. Where do I get the detailed procedure to find GCD of 783, 345, 857?

You can find a detailed procedure to find GCD of 783, 345, 857 on our page.

3. How to find GCD of 783, 345, 857 on a calculator?

You can find the GCD of 783, 345, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.