GCD of 927, 900, 787, 780 Calculator

Given Input numbers are 927, 900, 787, 780

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 787

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

1, 787

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 927, 900, 787, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 900, 787, 780 is 1.

Therefore, GCD of numbers 927, 900, 787, 780 is 1

Given Input Data is 927, 900, 787, 780

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 787 is 787

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(927, 900) = 92700

GCD(927, 900) = ( 927 x 900 ) / 92700

GCD(927, 900) = 834300 / 92700

GCD(927, 900) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 787

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

LCM(9, 787) = 7083

GCD(9, 787) = ( 9 x 787 ) / 7083

GCD(9, 787) = 7083 / 7083

GCD(9, 787) = 1

Step3:

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 927, 900, 787, 780 is 1

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1. What is the GCD of 927, 900, 787, 780?

GCD of 927, 900, 787, 780 is 1

2. Where do I get the detailed procedure to find GCD of 927, 900, 787, 780?

You can find a detailed procedure to find GCD of 927, 900, 787, 780 on our page.

3. How to find GCD of 927, 900, 787, 780 on a calculator?

You can find the GCD of 927, 900, 787, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.