GCD of 289, 780, 49, 821 Calculator

Given Input numbers are 289, 780, 49, 821

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 289, 780, 49, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 780, 49, 821 is 1.

Therefore, GCD of numbers 289, 780, 49, 821 is 1

Given Input Data is 289, 780, 49, 821

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

Prime Factorization of 289 is 17 x 17

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 821 is 821

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(289, 780) = 225420

GCD(289, 780) = ( 289 x 780 ) / 225420

GCD(289, 780) = 225420 / 225420

GCD(289, 780) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 289, 780, 49, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 656, 78, 884
• GCD of 369, 951, 34, 947
• GCD of 778, 101, 44, 481
• GCD of 757, 441, 77, 900
• GCD of 571, 896, 73, 957

1. What is the GCD of 289, 780, 49, 821?

GCD of 289, 780, 49, 821 is 1

2. Where do I get the detailed procedure to find GCD of 289, 780, 49, 821?

You can find a detailed procedure to find GCD of 289, 780, 49, 821 on our page.

3. How to find GCD of 289, 780, 49, 821 on a calculator?

You can find the GCD of 289, 780, 49, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.