GCD of 857, 728, 780 Calculator

Given Input numbers are 857, 728, 780

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

Divisors of 857

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

1, 857

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 857, 728, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 728, 780 is 1.

Therefore, GCD of numbers 857, 728, 780 is 1

Given Input Data is 857, 728, 780

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

Prime Factorization of 857 is 857

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 780 is 2 x 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(857, 728) = 623896

GCD(857, 728) = ( 857 x 728 ) / 623896

GCD(857, 728) = 623896 / 623896

GCD(857, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 857, 728, 780 is 1

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1. What is the GCD of 857, 728, 780?

GCD of 857, 728, 780 is 1

2. Where do I get the detailed procedure to find GCD of 857, 728, 780?

You can find a detailed procedure to find GCD of 857, 728, 780 on our page.

3. How to find GCD of 857, 728, 780 on a calculator?

You can find the GCD of 857, 728, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.