GCD of 780, 891, 469, 827 Calculator

Given Input numbers are 780, 891, 469, 827

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

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 780, 891, 469, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 891, 469, 827 is 1.

Therefore, GCD of numbers 780, 891, 469, 827 is 1

Given Input Data is 780, 891, 469, 827

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 469 is 7 x 67

Prime Factorization of 827 is 827

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(780, 891) = 231660

GCD(780, 891) = ( 780 x 891 ) / 231660

GCD(780, 891) = 694980 / 231660

GCD(780, 891) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 469

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

LCM(3, 469) = 1407

GCD(3, 469) = ( 3 x 469 ) / 1407

GCD(3, 469) = 1407 / 1407

GCD(3, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 780, 891, 469, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 900, 696, 590
• GCD of 890, 161, 338, 106
• GCD of 696, 210, 135, 398
• GCD of 147, 311, 683, 899
• GCD of 577, 231, 341, 804

1. What is the GCD of 780, 891, 469, 827?

GCD of 780, 891, 469, 827 is 1

2. Where do I get the detailed procedure to find GCD of 780, 891, 469, 827?

You can find a detailed procedure to find GCD of 780, 891, 469, 827 on our page.

3. How to find GCD of 780, 891, 469, 827 on a calculator?

You can find the GCD of 780, 891, 469, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.